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Finding the Third Proportional to 71,272.13 and 154,865.25

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Solution

The third proportional to 71,272.13 and 154,865.25 is: 336,502.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,272.13 : 154,865.25 = 154,865.25 : x
  2. Step 2: Convert to fraction form
    71,272.13/154,865.25 = 154,865.25/x
  3. Step 3: Cross multiply
    71,272.13x = 154,865.25 × 154,865.25
  4. Step 4: Simplify right side
    71,272.13x = 23,983,245,657.56
  5. Step 5: Solve for x
    x = 23,983,245,657.56/71,272.13
  6. Step 6: Final answer
    x = 336,502.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.