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Finding the Third Proportional to 52,170 and 112,638

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Solution

The third proportional to 52,170 and 112,638 is: 243,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,170 : 112,638 = 112,638 : x
  2. Step 2: Convert to fraction form
    52,170/112,638 = 112,638/x
  3. Step 3: Cross multiply
    52,170x = 112,638 × 112,638
  4. Step 4: Simplify right side
    52,170x = 12,687,319,044
  5. Step 5: Solve for x
    x = 12,687,319,044/52,170
  6. Step 6: Final answer
    x = 243,191.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.