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Finding the Third Proportional to 62,250 and 136,596

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Solution

The third proportional to 62,250 and 136,596 is: 299,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,250 : 136,596 = 136,596 : x
  2. Step 2: Convert to fraction form
    62,250/136,596 = 136,596/x
  3. Step 3: Cross multiply
    62,250x = 136,596 × 136,596
  4. Step 4: Simplify right side
    62,250x = 18,658,467,216
  5. Step 5: Solve for x
    x = 18,658,467,216/62,250
  6. Step 6: Final answer
    x = 299,734.41

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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.