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Finding the Third Proportional to 62,851 and 136,775

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Solution

The third proportional to 62,851 and 136,775 is: 297,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,851 : 136,775 = 136,775 : x
  2. Step 2: Convert to fraction form
    62,851/136,775 = 136,775/x
  3. Step 3: Cross multiply
    62,851x = 136,775 × 136,775
  4. Step 4: Simplify right side
    62,851x = 18,707,400,625
  5. Step 5: Solve for x
    x = 18,707,400,625/62,851
  6. Step 6: Final answer
    x = 297,646.83

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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.