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Finding the Third Proportional to 89,200 and 121,497

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Solution

The third proportional to 89,200 and 121,497 is: 165,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,200 : 121,497 = 121,497 : x
  2. Step 2: Convert to fraction form
    89,200/121,497 = 121,497/x
  3. Step 3: Cross multiply
    89,200x = 121,497 × 121,497
  4. Step 4: Simplify right side
    89,200x = 14,761,521,009
  5. Step 5: Solve for x
    x = 14,761,521,009/89,200
  6. Step 6: Final answer
    x = 165,487.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.