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Finding the Third Proportional to 113,140.13 and 155,851.17

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Solution

The third proportional to 113,140.13 and 155,851.17 is: 214,685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,140.13 : 155,851.17 = 155,851.17 : x
  2. Step 2: Convert to fraction form
    113,140.13/155,851.17 = 155,851.17/x
  3. Step 3: Cross multiply
    113,140.13x = 155,851.17 × 155,851.17
  4. Step 4: Simplify right side
    113,140.13x = 24,289,587,774.81
  5. Step 5: Solve for x
    x = 24,289,587,774.81/113,140.13
  6. Step 6: Final answer
    x = 214,685.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.