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Finding the Third Proportional to 57,156 and 84,908

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Solution

The third proportional to 57,156 and 84,908 is: 126,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,156 : 84,908 = 84,908 : x
  2. Step 2: Convert to fraction form
    57,156/84,908 = 84,908/x
  3. Step 3: Cross multiply
    57,156x = 84,908 × 84,908
  4. Step 4: Simplify right side
    57,156x = 7,209,368,464
  5. Step 5: Solve for x
    x = 7,209,368,464/57,156
  6. Step 6: Final answer
    x = 126,134.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.