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Finding the Third Proportional to 72,101.25 and 155,296.13

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Solution

The third proportional to 72,101.25 and 155,296.13 is: 334,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,101.25 : 155,296.13 = 155,296.13 : x
  2. Step 2: Convert to fraction form
    72,101.25/155,296.13 = 155,296.13/x
  3. Step 3: Cross multiply
    72,101.25x = 155,296.13 × 155,296.13
  4. Step 4: Simplify right side
    72,101.25x = 24,116,886,440.02
  5. Step 5: Solve for x
    x = 24,116,886,440.02/72,101.25
  6. Step 6: Final answer
    x = 334,486.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.