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Finding the Third Proportional to 62,382.50 and 135,275.06

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Solution

The third proportional to 62,382.50 and 135,275.06 is: 293,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,382.50 : 135,275.06 = 135,275.06 : x
  2. Step 2: Convert to fraction form
    62,382.50/135,275.06 = 135,275.06/x
  3. Step 3: Cross multiply
    62,382.50x = 135,275.06 × 135,275.06
  4. Step 4: Simplify right side
    62,382.50x = 18,299,342,534.38
  5. Step 5: Solve for x
    x = 18,299,342,534.38/62,382.50
  6. Step 6: Final answer
    x = 293,340.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.