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Finding the Third Proportional to 71,117 and 155,356

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Solution

The third proportional to 71,117 and 155,356 is: 339,377.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,117 : 155,356 = 155,356 : x
  2. Step 2: Convert to fraction form
    71,117/155,356 = 155,356/x
  3. Step 3: Cross multiply
    71,117x = 155,356 × 155,356
  4. Step 4: Simplify right side
    71,117x = 24,135,486,736
  5. Step 5: Solve for x
    x = 24,135,486,736/71,117
  6. Step 6: Final answer
    x = 339,377.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.