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Finding the Third Proportional to 52,471 and 112,718

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Solution

The third proportional to 52,471 and 112,718 is: 242,140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,471 : 112,718 = 112,718 : x
  2. Step 2: Convert to fraction form
    52,471/112,718 = 112,718/x
  3. Step 3: Cross multiply
    52,471x = 112,718 × 112,718
  4. Step 4: Simplify right side
    52,471x = 12,705,347,524
  5. Step 5: Solve for x
    x = 12,705,347,524/52,471
  6. Step 6: Final answer
    x = 242,140.37

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