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Finding the Third Proportional to 34,031 and 72,103

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Solution

The third proportional to 34,031 and 72,103 is: 152,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,031 : 72,103 = 72,103 : x
  2. Step 2: Convert to fraction form
    34,031/72,103 = 72,103/x
  3. Step 3: Cross multiply
    34,031x = 72,103 × 72,103
  4. Step 4: Simplify right side
    34,031x = 5,198,842,609
  5. Step 5: Solve for x
    x = 5,198,842,609/34,031
  6. Step 6: Final answer
    x = 152,767.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.