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Finding the Third Proportional to 49,917 and 75,395

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Solution

The third proportional to 49,917 and 75,395 is: 113,877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,917 : 75,395 = 75,395 : x
  2. Step 2: Convert to fraction form
    49,917/75,395 = 75,395/x
  3. Step 3: Cross multiply
    49,917x = 75,395 × 75,395
  4. Step 4: Simplify right side
    49,917x = 5,684,406,025
  5. Step 5: Solve for x
    x = 5,684,406,025/49,917
  6. Step 6: Final answer
    x = 113,877.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.