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Finding the Third Proportional to 62,371.50 and 136,029

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Solution

The third proportional to 62,371.50 and 136,029 is: 296,672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,371.50 : 136,029 = 136,029 : x
  2. Step 2: Convert to fraction form
    62,371.50/136,029 = 136,029/x
  3. Step 3: Cross multiply
    62,371.50x = 136,029 × 136,029
  4. Step 4: Simplify right side
    62,371.50x = 18,503,888,841
  5. Step 5: Solve for x
    x = 18,503,888,841/62,371.50
  6. Step 6: Final answer
    x = 296,672.18

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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.