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Finding the Third Proportional to 48,504 and 74,919

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Solution

The third proportional to 48,504 and 74,919 is: 115,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,504 : 74,919 = 74,919 : x
  2. Step 2: Convert to fraction form
    48,504/74,919 = 74,919/x
  3. Step 3: Cross multiply
    48,504x = 74,919 × 74,919
  4. Step 4: Simplify right side
    48,504x = 5,612,856,561
  5. Step 5: Solve for x
    x = 5,612,856,561/48,504
  6. Step 6: Final answer
    x = 115,719.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.