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Finding the Third Proportional to 62,434 and 136,550

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Solution

The third proportional to 62,434 and 136,550 is: 298,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,434 : 136,550 = 136,550 : x
  2. Step 2: Convert to fraction form
    62,434/136,550 = 136,550/x
  3. Step 3: Cross multiply
    62,434x = 136,550 × 136,550
  4. Step 4: Simplify right side
    62,434x = 18,645,902,500
  5. Step 5: Solve for x
    x = 18,645,902,500/62,434
  6. Step 6: Final answer
    x = 298,649.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.