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Finding the Third Proportional to 57,988 and 89,600

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Solution

The third proportional to 57,988 and 89,600 is: 138,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,988 : 89,600 = 89,600 : x
  2. Step 2: Convert to fraction form
    57,988/89,600 = 89,600/x
  3. Step 3: Cross multiply
    57,988x = 89,600 × 89,600
  4. Step 4: Simplify right side
    57,988x = 8,028,160,000
  5. Step 5: Solve for x
    x = 8,028,160,000/57,988
  6. Step 6: Final answer
    x = 138,445.20

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