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Finding the Third Proportional to 82,572.75 and 110,828.25

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Solution

The third proportional to 82,572.75 and 110,828.25 is: 148,752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,572.75 : 110,828.25 = 110,828.25 : x
  2. Step 2: Convert to fraction form
    82,572.75/110,828.25 = 110,828.25/x
  3. Step 3: Cross multiply
    82,572.75x = 110,828.25 × 110,828.25
  4. Step 4: Simplify right side
    82,572.75x = 12,282,900,998.06
  5. Step 5: Solve for x
    x = 12,282,900,998.06/82,572.75
  6. Step 6: Final answer
    x = 148,752.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.