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Finding the Third Proportional to 71,376 and 156,875

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Solution

The third proportional to 71,376 and 156,875 is: 344,790.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,376 : 156,875 = 156,875 : x
  2. Step 2: Convert to fraction form
    71,376/156,875 = 156,875/x
  3. Step 3: Cross multiply
    71,376x = 156,875 × 156,875
  4. Step 4: Simplify right side
    71,376x = 24,609,765,625
  5. Step 5: Solve for x
    x = 24,609,765,625/71,376
  6. Step 6: Final answer
    x = 344,790.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.