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Finding the Third Proportional to 97,385.50 and 145,691

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Solution

The third proportional to 97,385.50 and 145,691 is: 217,957.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,385.50 : 145,691 = 145,691 : x
  2. Step 2: Convert to fraction form
    97,385.50/145,691 = 145,691/x
  3. Step 3: Cross multiply
    97,385.50x = 145,691 × 145,691
  4. Step 4: Simplify right side
    97,385.50x = 21,225,867,481
  5. Step 5: Solve for x
    x = 21,225,867,481/97,385.50
  6. Step 6: Final answer
    x = 217,957.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.