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Finding the Third Proportional to 95,332 and 141,372

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Solution

The third proportional to 95,332 and 141,372 is: 209,646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,332 : 141,372 = 141,372 : x
  2. Step 2: Convert to fraction form
    95,332/141,372 = 141,372/x
  3. Step 3: Cross multiply
    95,332x = 141,372 × 141,372
  4. Step 4: Simplify right side
    95,332x = 19,986,042,384
  5. Step 5: Solve for x
    x = 19,986,042,384/95,332
  6. Step 6: Final answer
    x = 209,646.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.