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Finding the Third Proportional to 43,156 and 61,939

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Solution

The third proportional to 43,156 and 61,939 is: 88,897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,156 : 61,939 = 61,939 : x
  2. Step 2: Convert to fraction form
    43,156/61,939 = 61,939/x
  3. Step 3: Cross multiply
    43,156x = 61,939 × 61,939
  4. Step 4: Simplify right side
    43,156x = 3,836,439,721
  5. Step 5: Solve for x
    x = 3,836,439,721/43,156
  6. Step 6: Final answer
    x = 88,897.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.