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Finding the Third Proportional to 49,478 and 75,851

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Solution

The third proportional to 49,478 and 75,851 is: 116,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,478 : 75,851 = 75,851 : x
  2. Step 2: Convert to fraction form
    49,478/75,851 = 75,851/x
  3. Step 3: Cross multiply
    49,478x = 75,851 × 75,851
  4. Step 4: Simplify right side
    49,478x = 5,753,374,201
  5. Step 5: Solve for x
    x = 5,753,374,201/49,478
  6. Step 6: Final answer
    x = 116,281.46

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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.