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Finding the Third Proportional to 48,412 and 76,078

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Solution

The third proportional to 48,412 and 76,078 is: 119,554.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,412 : 76,078 = 76,078 : x
  2. Step 2: Convert to fraction form
    48,412/76,078 = 76,078/x
  3. Step 3: Cross multiply
    48,412x = 76,078 × 76,078
  4. Step 4: Simplify right side
    48,412x = 5,787,862,084
  5. Step 5: Solve for x
    x = 5,787,862,084/48,412
  6. Step 6: Final answer
    x = 119,554.29

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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.