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Finding the Third Proportional to 136,545 and 279,651

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Solution

The third proportional to 136,545 and 279,651 is: 572,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,545 : 279,651 = 279,651 : x
  2. Step 2: Convert to fraction form
    136,545/279,651 = 279,651/x
  3. Step 3: Cross multiply
    136,545x = 279,651 × 279,651
  4. Step 4: Simplify right side
    136,545x = 78,204,681,801
  5. Step 5: Solve for x
    x = 78,204,681,801/136,545
  6. Step 6: Final answer
    x = 572,739.26

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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.