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Finding the Third Proportional to 67,551 and 156,382

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Solution

The third proportional to 67,551 and 156,382 is: 362,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,551 : 156,382 = 156,382 : x
  2. Step 2: Convert to fraction form
    67,551/156,382 = 156,382/x
  3. Step 3: Cross multiply
    67,551x = 156,382 × 156,382
  4. Step 4: Simplify right side
    67,551x = 24,455,329,924
  5. Step 5: Solve for x
    x = 24,455,329,924/67,551
  6. Step 6: Final answer
    x = 362,027.65

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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.