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Finding the Third Proportional to 47,292 and 71,503

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Solution

The third proportional to 47,292 and 71,503 is: 108,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,292 : 71,503 = 71,503 : x
  2. Step 2: Convert to fraction form
    47,292/71,503 = 71,503/x
  3. Step 3: Cross multiply
    47,292x = 71,503 × 71,503
  4. Step 4: Simplify right side
    47,292x = 5,112,679,009
  5. Step 5: Solve for x
    x = 5,112,679,009/47,292
  6. Step 6: Final answer
    x = 108,108.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.