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Finding the Third Proportional to 57,585 and 88,839

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Solution

The third proportional to 57,585 and 88,839 is: 137,055.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,585 : 88,839 = 88,839 : x
  2. Step 2: Convert to fraction form
    57,585/88,839 = 88,839/x
  3. Step 3: Cross multiply
    57,585x = 88,839 × 88,839
  4. Step 4: Simplify right side
    57,585x = 7,892,367,921
  5. Step 5: Solve for x
    x = 7,892,367,921/57,585
  6. Step 6: Final answer
    x = 137,055.97

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