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Finding the Third Proportional to 71,748 and 156,600

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Solution

The third proportional to 71,748 and 156,600 is: 341,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,748 : 156,600 = 156,600 : x
  2. Step 2: Convert to fraction form
    71,748/156,600 = 156,600/x
  3. Step 3: Cross multiply
    71,748x = 156,600 × 156,600
  4. Step 4: Simplify right side
    71,748x = 24,523,560,000
  5. Step 5: Solve for x
    x = 24,523,560,000/71,748
  6. Step 6: Final answer
    x = 341,801.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.