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Finding the Third Proportional to 45,418 and 75,055

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Solution

The third proportional to 45,418 and 75,055 is: 124,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,418 : 75,055 = 75,055 : x
  2. Step 2: Convert to fraction form
    45,418/75,055 = 75,055/x
  3. Step 3: Cross multiply
    45,418x = 75,055 × 75,055
  4. Step 4: Simplify right side
    45,418x = 5,633,253,025
  5. Step 5: Solve for x
    x = 5,633,253,025/45,418
  6. Step 6: Final answer
    x = 124,031.29

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.