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Finding the Third Proportional to 125,373 and 183,259

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Solution

The third proportional to 125,373 and 183,259 is: 267,871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,373 : 183,259 = 183,259 : x
  2. Step 2: Convert to fraction form
    125,373/183,259 = 183,259/x
  3. Step 3: Cross multiply
    125,373x = 183,259 × 183,259
  4. Step 4: Simplify right side
    125,373x = 33,583,861,081
  5. Step 5: Solve for x
    x = 33,583,861,081/125,373
  6. Step 6: Final answer
    x = 267,871.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.