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Finding the Third Proportional to 115,866.75 and 155,188.13

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Solution

The third proportional to 115,866.75 and 155,188.13 is: 207,853.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,866.75 : 155,188.13 = 155,188.13 : x
  2. Step 2: Convert to fraction form
    115,866.75/155,188.13 = 155,188.13/x
  3. Step 3: Cross multiply
    115,866.75x = 155,188.13 × 155,188.13
  4. Step 4: Simplify right side
    115,866.75x = 24,083,354,141.02
  5. Step 5: Solve for x
    x = 24,083,354,141.02/115,866.75
  6. Step 6: Final answer
    x = 207,853.89

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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.