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Finding the Third Proportional to 34,702 and 74,566

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Solution

The third proportional to 34,702 and 74,566 is: 160,223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702 : 74,566 = 74,566 : x
  2. Step 2: Convert to fraction form
    34,702/74,566 = 74,566/x
  3. Step 3: Cross multiply
    34,702x = 74,566 × 74,566
  4. Step 4: Simplify right side
    34,702x = 5,560,088,356
  5. Step 5: Solve for x
    x = 5,560,088,356/34,702
  6. Step 6: Final answer
    x = 160,223.86

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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.