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Finding the Third Proportional to 87,502 and 191,952

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Solution

The third proportional to 87,502 and 191,952 is: 421,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,502 : 191,952 = 191,952 : x
  2. Step 2: Convert to fraction form
    87,502/191,952 = 191,952/x
  3. Step 3: Cross multiply
    87,502x = 191,952 × 191,952
  4. Step 4: Simplify right side
    87,502x = 36,845,570,304
  5. Step 5: Solve for x
    x = 36,845,570,304/87,502
  6. Step 6: Final answer
    x = 421,082.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.