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Finding the Third Proportional to 129,085 and 278,563

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Solution

The third proportional to 129,085 and 278,563 is: 601,133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,085 : 278,563 = 278,563 : x
  2. Step 2: Convert to fraction form
    129,085/278,563 = 278,563/x
  3. Step 3: Cross multiply
    129,085x = 278,563 × 278,563
  4. Step 4: Simplify right side
    129,085x = 77,597,344,969
  5. Step 5: Solve for x
    x = 77,597,344,969/129,085
  6. Step 6: Final answer
    x = 601,133.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.