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Finding the Third Proportional to 57,431 and 89,063

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Solution

The third proportional to 57,431 and 89,063 is: 138,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,431 : 89,063 = 89,063 : x
  2. Step 2: Convert to fraction form
    57,431/89,063 = 89,063/x
  3. Step 3: Cross multiply
    57,431x = 89,063 × 89,063
  4. Step 4: Simplify right side
    57,431x = 7,932,217,969
  5. Step 5: Solve for x
    x = 7,932,217,969/57,431
  6. Step 6: Final answer
    x = 138,117.36

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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.