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Finding the Third Proportional to 71,448.75 and 152,739

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Solution

The third proportional to 71,448.75 and 152,739 is: 326,516.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,448.75 : 152,739 = 152,739 : x
  2. Step 2: Convert to fraction form
    71,448.75/152,739 = 152,739/x
  3. Step 3: Cross multiply
    71,448.75x = 152,739 × 152,739
  4. Step 4: Simplify right side
    71,448.75x = 23,329,202,121
  5. Step 5: Solve for x
    x = 23,329,202,121/71,448.75
  6. Step 6: Final answer
    x = 326,516.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.