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Finding the Third Proportional to 136,542 and 279,888

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Solution

The third proportional to 136,542 and 279,888 is: 573,723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,542 : 279,888 = 279,888 : x
  2. Step 2: Convert to fraction form
    136,542/279,888 = 279,888/x
  3. Step 3: Cross multiply
    136,542x = 279,888 × 279,888
  4. Step 4: Simplify right side
    136,542x = 78,337,292,544
  5. Step 5: Solve for x
    x = 78,337,292,544/136,542
  6. Step 6: Final answer
    x = 573,723.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.