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Finding the Third Proportional to 47,292 and 109,464

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Solution

The third proportional to 47,292 and 109,464 is: 253,369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,292 : 109,464 = 109,464 : x
  2. Step 2: Convert to fraction form
    47,292/109,464 = 109,464/x
  3. Step 3: Cross multiply
    47,292x = 109,464 × 109,464
  4. Step 4: Simplify right side
    47,292x = 11,982,367,296
  5. Step 5: Solve for x
    x = 11,982,367,296/47,292
  6. Step 6: Final answer
    x = 253,369.86

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.