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Finding the Third Proportional to 57,239 and 125,412

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Solution

The third proportional to 57,239 and 125,412 is: 274,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,239 : 125,412 = 125,412 : x
  2. Step 2: Convert to fraction form
    57,239/125,412 = 125,412/x
  3. Step 3: Cross multiply
    57,239x = 125,412 × 125,412
  4. Step 4: Simplify right side
    57,239x = 15,728,169,744
  5. Step 5: Solve for x
    x = 15,728,169,744/57,239
  6. Step 6: Final answer
    x = 274,780.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.