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Finding the Third Proportional to 52,471 and 112,422

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Solution

The third proportional to 52,471 and 112,422 is: 240,870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,471 : 112,422 = 112,422 : x
  2. Step 2: Convert to fraction form
    52,471/112,422 = 112,422/x
  3. Step 3: Cross multiply
    52,471x = 112,422 × 112,422
  4. Step 4: Simplify right side
    52,471x = 12,638,706,084
  5. Step 5: Solve for x
    x = 12,638,706,084/52,471
  6. Step 6: Final answer
    x = 240,870.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.