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Finding the Third Proportional to 72,238 and 95,877

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Solution

The third proportional to 72,238 and 95,877 is: 127,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,238 : 95,877 = 95,877 : x
  2. Step 2: Convert to fraction form
    72,238/95,877 = 95,877/x
  3. Step 3: Cross multiply
    72,238x = 95,877 × 95,877
  4. Step 4: Simplify right side
    72,238x = 9,192,399,129
  5. Step 5: Solve for x
    x = 9,192,399,129/72,238
  6. Step 6: Final answer
    x = 127,251.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.