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Finding the Third Proportional to 87,699.38 and 141,239.63

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Solution

The third proportional to 87,699.38 and 141,239.63 is: 227,466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,699.38 : 141,239.63 = 141,239.63 : x
  2. Step 2: Convert to fraction form
    87,699.38/141,239.63 = 141,239.63/x
  3. Step 3: Cross multiply
    87,699.38x = 141,239.63 × 141,239.63
  4. Step 4: Simplify right side
    87,699.38x = 19,948,631,670.14
  5. Step 5: Solve for x
    x = 19,948,631,670.14/87,699.38
  6. Step 6: Final answer
    x = 227,466.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.