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Finding the Third Proportional to 62,458 and 136,564

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Solution

The third proportional to 62,458 and 136,564 is: 298,596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,458 : 136,564 = 136,564 : x
  2. Step 2: Convert to fraction form
    62,458/136,564 = 136,564/x
  3. Step 3: Cross multiply
    62,458x = 136,564 × 136,564
  4. Step 4: Simplify right side
    62,458x = 18,649,726,096
  5. Step 5: Solve for x
    x = 18,649,726,096/62,458
  6. Step 6: Final answer
    x = 298,596.27

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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.