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Finding the Third Proportional to 71,808.19 and 152,695.13

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Solution

The third proportional to 71,808.19 and 152,695.13 is: 324,695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,808.19 : 152,695.13 = 152,695.13 : x
  2. Step 2: Convert to fraction form
    71,808.19/152,695.13 = 152,695.13/x
  3. Step 3: Cross multiply
    71,808.19x = 152,695.13 × 152,695.13
  4. Step 4: Simplify right side
    71,808.19x = 23,315,801,198.77
  5. Step 5: Solve for x
    x = 23,315,801,198.77/71,808.19
  6. Step 6: Final answer
    x = 324,695.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.