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Finding the Third Proportional to 52,161 and 112,637

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Solution

The third proportional to 52,161 and 112,637 is: 243,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,161 : 112,637 = 112,637 : x
  2. Step 2: Convert to fraction form
    52,161/112,637 = 112,637/x
  3. Step 3: Cross multiply
    52,161x = 112,637 × 112,637
  4. Step 4: Simplify right side
    52,161x = 12,687,093,769
  5. Step 5: Solve for x
    x = 12,687,093,769/52,161
  6. Step 6: Final answer
    x = 243,229.50

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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.