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Finding the Third Proportional to 125,351 and 273,567

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Solution

The third proportional to 125,351 and 273,567 is: 597,034.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,351 : 273,567 = 273,567 : x
  2. Step 2: Convert to fraction form
    125,351/273,567 = 273,567/x
  3. Step 3: Cross multiply
    125,351x = 273,567 × 273,567
  4. Step 4: Simplify right side
    125,351x = 74,838,903,489
  5. Step 5: Solve for x
    x = 74,838,903,489/125,351
  6. Step 6: Final answer
    x = 597,034.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.