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Finding the Third Proportional to 72,020.25 and 109,025.44

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Solution

The third proportional to 72,020.25 and 109,025.44 is: 165,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,020.25 : 109,025.44 = 109,025.44 : x
  2. Step 2: Convert to fraction form
    72,020.25/109,025.44 = 109,025.44/x
  3. Step 3: Cross multiply
    72,020.25x = 109,025.44 × 109,025.44
  4. Step 4: Simplify right side
    72,020.25x = 11,886,546,022.07
  5. Step 5: Solve for x
    x = 11,886,546,022.07/72,020.25
  6. Step 6: Final answer
    x = 165,044.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.