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Finding the Third Proportional to 45,058 and 67,218

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Solution

The third proportional to 45,058 and 67,218 is: 100,276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,058 : 67,218 = 67,218 : x
  2. Step 2: Convert to fraction form
    45,058/67,218 = 67,218/x
  3. Step 3: Cross multiply
    45,058x = 67,218 × 67,218
  4. Step 4: Simplify right side
    45,058x = 4,518,259,524
  5. Step 5: Solve for x
    x = 4,518,259,524/45,058
  6. Step 6: Final answer
    x = 100,276.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.