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Finding the Third Proportional to 48,280 and 100,974

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Solution

The third proportional to 48,280 and 100,974 is: 211,179.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,280 : 100,974 = 100,974 : x
  2. Step 2: Convert to fraction form
    48,280/100,974 = 100,974/x
  3. Step 3: Cross multiply
    48,280x = 100,974 × 100,974
  4. Step 4: Simplify right side
    48,280x = 10,195,748,676
  5. Step 5: Solve for x
    x = 10,195,748,676/48,280
  6. Step 6: Final answer
    x = 211,179.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.