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Finding the Third Proportional to 67,506 and 156,282

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Solution

The third proportional to 67,506 and 156,282 is: 361,805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,506 : 156,282 = 156,282 : x
  2. Step 2: Convert to fraction form
    67,506/156,282 = 156,282/x
  3. Step 3: Cross multiply
    67,506x = 156,282 × 156,282
  4. Step 4: Simplify right side
    67,506x = 24,424,063,524
  5. Step 5: Solve for x
    x = 24,424,063,524/67,506
  6. Step 6: Final answer
    x = 361,805.82

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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.