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Finding the Third Proportional to 62,944 and 136,214

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Solution

The third proportional to 62,944 and 136,214 is: 294,773.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,944 : 136,214 = 136,214 : x
  2. Step 2: Convert to fraction form
    62,944/136,214 = 136,214/x
  3. Step 3: Cross multiply
    62,944x = 136,214 × 136,214
  4. Step 4: Simplify right side
    62,944x = 18,554,253,796
  5. Step 5: Solve for x
    x = 18,554,253,796/62,944
  6. Step 6: Final answer
    x = 294,773.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.