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Finding the Third Proportional to 71,583.75 and 154,162.13

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Solution

The third proportional to 71,583.75 and 154,162.13 is: 332,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,583.75 : 154,162.13 = 154,162.13 : x
  2. Step 2: Convert to fraction form
    71,583.75/154,162.13 = 154,162.13/x
  3. Step 3: Cross multiply
    71,583.75x = 154,162.13 × 154,162.13
  4. Step 4: Simplify right side
    71,583.75x = 23,765,960,784.52
  5. Step 5: Solve for x
    x = 23,765,960,784.52/71,583.75
  6. Step 6: Final answer
    x = 332,002.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.