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Finding the Third Proportional to 62,808 and 136,524

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Solution

The third proportional to 62,808 and 136,524 is: 296,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,808 : 136,524 = 136,524 : x
  2. Step 2: Convert to fraction form
    62,808/136,524 = 136,524/x
  3. Step 3: Cross multiply
    62,808x = 136,524 × 136,524
  4. Step 4: Simplify right side
    62,808x = 18,638,802,576
  5. Step 5: Solve for x
    x = 18,638,802,576/62,808
  6. Step 6: Final answer
    x = 296,758.42

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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.