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Finding the Third Proportional to 57,614 and 89,018

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Solution

The third proportional to 57,614 and 89,018 is: 137,539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,614 : 89,018 = 89,018 : x
  2. Step 2: Convert to fraction form
    57,614/89,018 = 89,018/x
  3. Step 3: Cross multiply
    57,614x = 89,018 × 89,018
  4. Step 4: Simplify right side
    57,614x = 7,924,204,324
  5. Step 5: Solve for x
    x = 7,924,204,324/57,614
  6. Step 6: Final answer
    x = 137,539.56

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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.