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Finding the Third Proportional to 58,482 and 125,649

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Solution

The third proportional to 58,482 and 125,649 is: 269,957.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,482 : 125,649 = 125,649 : x
  2. Step 2: Convert to fraction form
    58,482/125,649 = 125,649/x
  3. Step 3: Cross multiply
    58,482x = 125,649 × 125,649
  4. Step 4: Simplify right side
    58,482x = 15,787,671,201
  5. Step 5: Solve for x
    x = 15,787,671,201/58,482
  6. Step 6: Final answer
    x = 269,957.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.