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Finding the Third Proportional to 62,436.29 and 137,327.51

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Solution

The third proportional to 62,436.29 and 137,327.51 is: 302,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,436.29 : 137,327.51 = 137,327.51 : x
  2. Step 2: Convert to fraction form
    62,436.29/137,327.51 = 137,327.51/x
  3. Step 3: Cross multiply
    62,436.29x = 137,327.51 × 137,327.51
  4. Step 4: Simplify right side
    62,436.29x = 18,858,845,206.65
  5. Step 5: Solve for x
    x = 18,858,845,206.65/62,436.29
  6. Step 6: Final answer
    x = 302,049.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.