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Finding the Third Proportional to 55,870 and 120,482

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Solution

The third proportional to 55,870 and 120,482 is: 259,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,870 : 120,482 = 120,482 : x
  2. Step 2: Convert to fraction form
    55,870/120,482 = 120,482/x
  3. Step 3: Cross multiply
    55,870x = 120,482 × 120,482
  4. Step 4: Simplify right side
    55,870x = 14,515,912,324
  5. Step 5: Solve for x
    x = 14,515,912,324/55,870
  6. Step 6: Final answer
    x = 259,815.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.