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Finding the Third Proportional to 89,762 and 136,587

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Solution

The third proportional to 89,762 and 136,587 is: 207,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,762 : 136,587 = 136,587 : x
  2. Step 2: Convert to fraction form
    89,762/136,587 = 136,587/x
  3. Step 3: Cross multiply
    89,762x = 136,587 × 136,587
  4. Step 4: Simplify right side
    89,762x = 18,656,008,569
  5. Step 5: Solve for x
    x = 18,656,008,569/89,762
  6. Step 6: Final answer
    x = 207,838.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.