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Finding the Third Proportional to 55,482 and 115,494

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Solution

The third proportional to 55,482 and 115,494 is: 240,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,482 : 115,494 = 115,494 : x
  2. Step 2: Convert to fraction form
    55,482/115,494 = 115,494/x
  3. Step 3: Cross multiply
    55,482x = 115,494 × 115,494
  4. Step 4: Simplify right side
    55,482x = 13,338,864,036
  5. Step 5: Solve for x
    x = 13,338,864,036/55,482
  6. Step 6: Final answer
    x = 240,417.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.