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Finding the Third Proportional to 62,424.84 and 137,574.56

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Solution

The third proportional to 62,424.84 and 137,574.56 is: 303,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,424.84 : 137,574.56 = 137,574.56 : x
  2. Step 2: Convert to fraction form
    62,424.84/137,574.56 = 137,574.56/x
  3. Step 3: Cross multiply
    62,424.84x = 137,574.56 × 137,574.56
  4. Step 4: Simplify right side
    62,424.84x = 18,926,760,247.07
  5. Step 5: Solve for x
    x = 18,926,760,247.07/62,424.84
  6. Step 6: Final answer
    x = 303,192.75

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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.