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Finding the Third Proportional to 52,290 and 124,245

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Solution

The third proportional to 52,290 and 124,245 is: 295,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,290 : 124,245 = 124,245 : x
  2. Step 2: Convert to fraction form
    52,290/124,245 = 124,245/x
  3. Step 3: Cross multiply
    52,290x = 124,245 × 124,245
  4. Step 4: Simplify right side
    52,290x = 15,436,820,025
  5. Step 5: Solve for x
    x = 15,436,820,025/52,290
  6. Step 6: Final answer
    x = 295,215.53

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.