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Finding the Third Proportional to 71,427 and 153,222

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Solution

The third proportional to 71,427 and 153,222 is: 328,684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,427 : 153,222 = 153,222 : x
  2. Step 2: Convert to fraction form
    71,427/153,222 = 153,222/x
  3. Step 3: Cross multiply
    71,427x = 153,222 × 153,222
  4. Step 4: Simplify right side
    71,427x = 23,476,981,284
  5. Step 5: Solve for x
    x = 23,476,981,284/71,427
  6. Step 6: Final answer
    x = 328,684.97

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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.