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Finding the Third Proportional to 89,060 and 136,952

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Solution

The third proportional to 89,060 and 136,952 is: 210,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,060 : 136,952 = 136,952 : x
  2. Step 2: Convert to fraction form
    89,060/136,952 = 136,952/x
  3. Step 3: Cross multiply
    89,060x = 136,952 × 136,952
  4. Step 4: Simplify right side
    89,060x = 18,755,850,304
  5. Step 5: Solve for x
    x = 18,755,850,304/89,060
  6. Step 6: Final answer
    x = 210,597.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.