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Finding the Third Proportional to 25,098 and 54,156

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Solution

The third proportional to 25,098 and 54,156 is: 116,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,098 : 54,156 = 54,156 : x
  2. Step 2: Convert to fraction form
    25,098/54,156 = 54,156/x
  3. Step 3: Cross multiply
    25,098x = 54,156 × 54,156
  4. Step 4: Simplify right side
    25,098x = 2,932,872,336
  5. Step 5: Solve for x
    x = 2,932,872,336/25,098
  6. Step 6: Final answer
    x = 116,856.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.