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Finding the Third Proportional to 71,320 and 141,361

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Solution

The third proportional to 71,320 and 141,361 is: 280,186.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,320 : 141,361 = 141,361 : x
  2. Step 2: Convert to fraction form
    71,320/141,361 = 141,361/x
  3. Step 3: Cross multiply
    71,320x = 141,361 × 141,361
  4. Step 4: Simplify right side
    71,320x = 19,982,932,321
  5. Step 5: Solve for x
    x = 19,982,932,321/71,320
  6. Step 6: Final answer
    x = 280,186.94

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.