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Finding the Third Proportional to 54,342 and 83,126

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Solution

The third proportional to 54,342 and 83,126 is: 127,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,342 : 83,126 = 83,126 : x
  2. Step 2: Convert to fraction form
    54,342/83,126 = 83,126/x
  3. Step 3: Cross multiply
    54,342x = 83,126 × 83,126
  4. Step 4: Simplify right side
    54,342x = 6,909,931,876
  5. Step 5: Solve for x
    x = 6,909,931,876/54,342
  6. Step 6: Final answer
    x = 127,156.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.