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Finding the Third Proportional to 57,226 and 88,606

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Solution

The third proportional to 57,226 and 88,606 is: 137,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,226 : 88,606 = 88,606 : x
  2. Step 2: Convert to fraction form
    57,226/88,606 = 88,606/x
  3. Step 3: Cross multiply
    57,226x = 88,606 × 88,606
  4. Step 4: Simplify right side
    57,226x = 7,851,023,236
  5. Step 5: Solve for x
    x = 7,851,023,236/57,226
  6. Step 6: Final answer
    x = 137,193.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.