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Finding the Third Proportional to 107,053.50 and 160,578

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Solution

The third proportional to 107,053.50 and 160,578 is: 240,863.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,053.50 : 160,578 = 160,578 : x
  2. Step 2: Convert to fraction form
    107,053.50/160,578 = 160,578/x
  3. Step 3: Cross multiply
    107,053.50x = 160,578 × 160,578
  4. Step 4: Simplify right side
    107,053.50x = 25,785,294,084
  5. Step 5: Solve for x
    x = 25,785,294,084/107,053.50
  6. Step 6: Final answer
    x = 240,863.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.