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Finding the Third Proportional to 62,862 and 136,806

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Solution

The third proportional to 62,862 and 136,806 is: 297,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,862 : 136,806 = 136,806 : x
  2. Step 2: Convert to fraction form
    62,862/136,806 = 136,806/x
  3. Step 3: Cross multiply
    62,862x = 136,806 × 136,806
  4. Step 4: Simplify right side
    62,862x = 18,715,881,636
  5. Step 5: Solve for x
    x = 18,715,881,636/62,862
  6. Step 6: Final answer
    x = 297,729.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.