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Finding the Third Proportional to 85,681.13 and 125,593.88

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Solution

The third proportional to 85,681.13 and 125,593.88 is: 184,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,681.13 : 125,593.88 = 125,593.88 : x
  2. Step 2: Convert to fraction form
    85,681.13/125,593.88 = 125,593.88/x
  3. Step 3: Cross multiply
    85,681.13x = 125,593.88 × 125,593.88
  4. Step 4: Simplify right side
    85,681.13x = 15,773,821,437.52
  5. Step 5: Solve for x
    x = 15,773,821,437.52/85,681.13
  6. Step 6: Final answer
    x = 184,099.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.