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Finding the Third Proportional to 48,408 and 76,072

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Solution

The third proportional to 48,408 and 76,072 is: 119,545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,408 : 76,072 = 76,072 : x
  2. Step 2: Convert to fraction form
    48,408/76,072 = 76,072/x
  3. Step 3: Cross multiply
    48,408x = 76,072 × 76,072
  4. Step 4: Simplify right side
    48,408x = 5,786,949,184
  5. Step 5: Solve for x
    x = 5,786,949,184/48,408
  6. Step 6: Final answer
    x = 119,545.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.