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Finding the Third Proportional to 48,078 and 76,053

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Solution

The third proportional to 48,078 and 76,053 is: 120,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,078 : 76,053 = 76,053 : x
  2. Step 2: Convert to fraction form
    48,078/76,053 = 76,053/x
  3. Step 3: Cross multiply
    48,078x = 76,053 × 76,053
  4. Step 4: Simplify right side
    48,078x = 5,784,058,809
  5. Step 5: Solve for x
    x = 5,784,058,809/48,078
  6. Step 6: Final answer
    x = 120,305.73

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.