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Finding the Third Proportional to 57,373 and 89,057

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Solution

The third proportional to 57,373 and 89,057 is: 138,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,373 : 89,057 = 89,057 : x
  2. Step 2: Convert to fraction form
    57,373/89,057 = 89,057/x
  3. Step 3: Cross multiply
    57,373x = 89,057 × 89,057
  4. Step 4: Simplify right side
    57,373x = 7,931,149,249
  5. Step 5: Solve for x
    x = 7,931,149,249/57,373
  6. Step 6: Final answer
    x = 138,238.36

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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.