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Finding the Third Proportional to 71,197 and 151,596.25

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Solution

The third proportional to 71,197 and 151,596.25 is: 322,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,197 : 151,596.25 = 151,596.25 : x
  2. Step 2: Convert to fraction form
    71,197/151,596.25 = 151,596.25/x
  3. Step 3: Cross multiply
    71,197x = 151,596.25 × 151,596.25
  4. Step 4: Simplify right side
    71,197x = 22,981,423,014.06
  5. Step 5: Solve for x
    x = 22,981,423,014.06/71,197
  6. Step 6: Final answer
    x = 322,786.40

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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.