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Finding the Third Proportional to 52,181 and 112,870

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Solution

The third proportional to 52,181 and 112,870 is: 244,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,181 : 112,870 = 112,870 : x
  2. Step 2: Convert to fraction form
    52,181/112,870 = 112,870/x
  3. Step 3: Cross multiply
    52,181x = 112,870 × 112,870
  4. Step 4: Simplify right side
    52,181x = 12,739,636,900
  5. Step 5: Solve for x
    x = 12,739,636,900/52,181
  6. Step 6: Final answer
    x = 244,143.21

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