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Finding the Third Proportional to 57,359 and 84,157

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Solution

The third proportional to 57,359 and 84,157 is: 123,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,359 : 84,157 = 84,157 : x
  2. Step 2: Convert to fraction form
    57,359/84,157 = 84,157/x
  3. Step 3: Cross multiply
    57,359x = 84,157 × 84,157
  4. Step 4: Simplify right side
    57,359x = 7,082,400,649
  5. Step 5: Solve for x
    x = 7,082,400,649/57,359
  6. Step 6: Final answer
    x = 123,474.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.