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Finding the Third Proportional to 57,472 and 83,979

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Solution

The third proportional to 57,472 and 83,979 is: 122,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,472 : 83,979 = 83,979 : x
  2. Step 2: Convert to fraction form
    57,472/83,979 = 83,979/x
  3. Step 3: Cross multiply
    57,472x = 83,979 × 83,979
  4. Step 4: Simplify right side
    57,472x = 7,052,472,441
  5. Step 5: Solve for x
    x = 7,052,472,441/57,472
  6. Step 6: Final answer
    x = 122,711.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.