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Finding the Third Proportional to 97,330 and 140,651

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Solution

The third proportional to 97,330 and 140,651 is: 203,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,330 : 140,651 = 140,651 : x
  2. Step 2: Convert to fraction form
    97,330/140,651 = 140,651/x
  3. Step 3: Cross multiply
    97,330x = 140,651 × 140,651
  4. Step 4: Simplify right side
    97,330x = 19,782,703,801
  5. Step 5: Solve for x
    x = 19,782,703,801/97,330
  6. Step 6: Final answer
    x = 203,253.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.