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Finding the Third Proportional to 57,918 and 89,622

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Solution

The third proportional to 57,918 and 89,622 is: 138,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,918 : 89,622 = 89,622 : x
  2. Step 2: Convert to fraction form
    57,918/89,622 = 89,622/x
  3. Step 3: Cross multiply
    57,918x = 89,622 × 89,622
  4. Step 4: Simplify right side
    57,918x = 8,032,102,884
  5. Step 5: Solve for x
    x = 8,032,102,884/57,918
  6. Step 6: Final answer
    x = 138,680.60

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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.