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Finding the Third Proportional to 62,600 and 135,814

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Solution

The third proportional to 62,600 and 135,814 is: 294,655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,600 : 135,814 = 135,814 : x
  2. Step 2: Convert to fraction form
    62,600/135,814 = 135,814/x
  3. Step 3: Cross multiply
    62,600x = 135,814 × 135,814
  4. Step 4: Simplify right side
    62,600x = 18,445,442,596
  5. Step 5: Solve for x
    x = 18,445,442,596/62,600
  6. Step 6: Final answer
    x = 294,655.63

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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.