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Finding the Third Proportional to 34,702 and 70,698

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Solution

The third proportional to 34,702 and 70,698 is: 144,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702 : 70,698 = 70,698 : x
  2. Step 2: Convert to fraction form
    34,702/70,698 = 70,698/x
  3. Step 3: Cross multiply
    34,702x = 70,698 × 70,698
  4. Step 4: Simplify right side
    34,702x = 4,998,207,204
  5. Step 5: Solve for x
    x = 4,998,207,204/34,702
  6. Step 6: Final answer
    x = 144,032.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.