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Finding the Third Proportional to 96,687 and 149,405

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Solution

The third proportional to 96,687 and 149,405 is: 230,867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,687 : 149,405 = 149,405 : x
  2. Step 2: Convert to fraction form
    96,687/149,405 = 149,405/x
  3. Step 3: Cross multiply
    96,687x = 149,405 × 149,405
  4. Step 4: Simplify right side
    96,687x = 22,321,854,025
  5. Step 5: Solve for x
    x = 22,321,854,025/96,687
  6. Step 6: Final answer
    x = 230,867.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.