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Finding the Third Proportional to 67,295.81 and 147,516.19

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Solution

The third proportional to 67,295.81 and 147,516.19 is: 323,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,295.81 : 147,516.19 = 147,516.19 : x
  2. Step 2: Convert to fraction form
    67,295.81/147,516.19 = 147,516.19/x
  3. Step 3: Cross multiply
    67,295.81x = 147,516.19 × 147,516.19
  4. Step 4: Simplify right side
    67,295.81x = 21,761,025,574.54
  5. Step 5: Solve for x
    x = 21,761,025,574.54/67,295.81
  6. Step 6: Final answer
    x = 323,363.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.