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Finding the Third Proportional to 116,281.13 and 157,810.13

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Solution

The third proportional to 116,281.13 and 157,810.13 is: 214,170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,281.13 : 157,810.13 = 157,810.13 : x
  2. Step 2: Convert to fraction form
    116,281.13/157,810.13 = 157,810.13/x
  3. Step 3: Cross multiply
    116,281.13x = 157,810.13 × 157,810.13
  4. Step 4: Simplify right side
    116,281.13x = 24,904,035,552.52
  5. Step 5: Solve for x
    x = 24,904,035,552.52/116,281.13
  6. Step 6: Final answer
    x = 214,170.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.