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Finding the Third Proportional to 47,291 and 101,551

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Solution

The third proportional to 47,291 and 101,551 is: 218,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,291 : 101,551 = 101,551 : x
  2. Step 2: Convert to fraction form
    47,291/101,551 = 101,551/x
  3. Step 3: Cross multiply
    47,291x = 101,551 × 101,551
  4. Step 4: Simplify right side
    47,291x = 10,312,605,601
  5. Step 5: Solve for x
    x = 10,312,605,601/47,291
  6. Step 6: Final answer
    x = 218,066.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.