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Finding the Third Proportional to 47,598 and 112,551

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Solution

The third proportional to 47,598 and 112,551 is: 266,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,598 : 112,551 = 112,551 : x
  2. Step 2: Convert to fraction form
    47,598/112,551 = 112,551/x
  3. Step 3: Cross multiply
    47,598x = 112,551 × 112,551
  4. Step 4: Simplify right side
    47,598x = 12,667,727,601
  5. Step 5: Solve for x
    x = 12,667,727,601/47,598
  6. Step 6: Final answer
    x = 266,139.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.