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Finding the Third Proportional to 62,948.81 and 135,951.19

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Solution

The third proportional to 62,948.81 and 135,951.19 is: 293,615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,948.81 : 135,951.19 = 135,951.19 : x
  2. Step 2: Convert to fraction form
    62,948.81/135,951.19 = 135,951.19/x
  3. Step 3: Cross multiply
    62,948.81x = 135,951.19 × 135,951.19
  4. Step 4: Simplify right side
    62,948.81x = 18,482,725,382.66
  5. Step 5: Solve for x
    x = 18,482,725,382.66/62,948.81
  6. Step 6: Final answer
    x = 293,615.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.