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Finding the Third Proportional to 62,493 and 136,077

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Solution

The third proportional to 62,493 and 136,077 is: 296,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,493 : 136,077 = 136,077 : x
  2. Step 2: Convert to fraction form
    62,493/136,077 = 136,077/x
  3. Step 3: Cross multiply
    62,493x = 136,077 × 136,077
  4. Step 4: Simplify right side
    62,493x = 18,516,949,929
  5. Step 5: Solve for x
    x = 18,516,949,929/62,493
  6. Step 6: Final answer
    x = 296,304.38

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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.