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Finding the Third Proportional to 125,654 and 273,124

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Solution

The third proportional to 125,654 and 273,124 is: 593,667.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,654 : 273,124 = 273,124 : x
  2. Step 2: Convert to fraction form
    125,654/273,124 = 273,124/x
  3. Step 3: Cross multiply
    125,654x = 273,124 × 273,124
  4. Step 4: Simplify right side
    125,654x = 74,596,719,376
  5. Step 5: Solve for x
    x = 74,596,719,376/125,654
  6. Step 6: Final answer
    x = 593,667.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.