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Finding the Third Proportional to 107,180 and 229,124

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Solution

The third proportional to 107,180 and 229,124 is: 489,809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,180 : 229,124 = 229,124 : x
  2. Step 2: Convert to fraction form
    107,180/229,124 = 229,124/x
  3. Step 3: Cross multiply
    107,180x = 229,124 × 229,124
  4. Step 4: Simplify right side
    107,180x = 52,497,807,376
  5. Step 5: Solve for x
    x = 52,497,807,376/107,180
  6. Step 6: Final answer
    x = 489,809.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.