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Finding the Third Proportional to 106,140.75 and 156,781.13

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Solution

The third proportional to 106,140.75 and 156,781.13 is: 231,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,140.75 : 156,781.13 = 156,781.13 : x
  2. Step 2: Convert to fraction form
    106,140.75/156,781.13 = 156,781.13/x
  3. Step 3: Cross multiply
    106,140.75x = 156,781.13 × 156,781.13
  4. Step 4: Simplify right side
    106,140.75x = 24,580,321,156.27
  5. Step 5: Solve for x
    x = 24,580,321,156.27/106,140.75
  6. Step 6: Final answer
    x = 231,582.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.