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Finding the Third Proportional to 67,532 and 156,344

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Solution

The third proportional to 67,532 and 156,344 is: 361,953.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,532 : 156,344 = 156,344 : x
  2. Step 2: Convert to fraction form
    67,532/156,344 = 156,344/x
  3. Step 3: Cross multiply
    67,532x = 156,344 × 156,344
  4. Step 4: Simplify right side
    67,532x = 24,443,446,336
  5. Step 5: Solve for x
    x = 24,443,446,336/67,532
  6. Step 6: Final answer
    x = 361,953.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.