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Finding the Third Proportional to 57,054 and 88,691

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Solution

The third proportional to 57,054 and 88,691 is: 137,871.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,054 : 88,691 = 88,691 : x
  2. Step 2: Convert to fraction form
    57,054/88,691 = 88,691/x
  3. Step 3: Cross multiply
    57,054x = 88,691 × 88,691
  4. Step 4: Simplify right side
    57,054x = 7,866,093,481
  5. Step 5: Solve for x
    x = 7,866,093,481/57,054
  6. Step 6: Final answer
    x = 137,871.03

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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.