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Finding the Third Proportional to 57,384 and 88,637

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Solution

The third proportional to 57,384 and 88,637 is: 136,911.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,384 : 88,637 = 88,637 : x
  2. Step 2: Convert to fraction form
    57,384/88,637 = 88,637/x
  3. Step 3: Cross multiply
    57,384x = 88,637 × 88,637
  4. Step 4: Simplify right side
    57,384x = 7,856,517,769
  5. Step 5: Solve for x
    x = 7,856,517,769/57,384
  6. Step 6: Final answer
    x = 136,911.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.