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Finding the Third Proportional to 64,518 and 89,151

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Solution

The third proportional to 64,518 and 89,151 is: 123,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,518 : 89,151 = 89,151 : x
  2. Step 2: Convert to fraction form
    64,518/89,151 = 89,151/x
  3. Step 3: Cross multiply
    64,518x = 89,151 × 89,151
  4. Step 4: Simplify right side
    64,518x = 7,947,900,801
  5. Step 5: Solve for x
    x = 7,947,900,801/64,518
  6. Step 6: Final answer
    x = 123,188.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.