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Finding the Third Proportional to 97,204 and 140,478

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Solution

The third proportional to 97,204 and 140,478 is: 203,017.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,204 : 140,478 = 140,478 : x
  2. Step 2: Convert to fraction form
    97,204/140,478 = 140,478/x
  3. Step 3: Cross multiply
    97,204x = 140,478 × 140,478
  4. Step 4: Simplify right side
    97,204x = 19,734,068,484
  5. Step 5: Solve for x
    x = 19,734,068,484/97,204
  6. Step 6: Final answer
    x = 203,017.04

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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.