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Finding the Third Proportional to 34,117 and 73,418

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Solution

The third proportional to 34,117 and 73,418 is: 157,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,117 : 73,418 = 73,418 : x
  2. Step 2: Convert to fraction form
    34,117/73,418 = 73,418/x
  3. Step 3: Cross multiply
    34,117x = 73,418 × 73,418
  4. Step 4: Simplify right side
    34,117x = 5,390,202,724
  5. Step 5: Solve for x
    x = 5,390,202,724/34,117
  6. Step 6: Final answer
    x = 157,991.70

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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.