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Finding the Third Proportional to 34,702 and 74,668

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Solution

The third proportional to 34,702 and 74,668 is: 160,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702 : 74,668 = 74,668 : x
  2. Step 2: Convert to fraction form
    34,702/74,668 = 74,668/x
  3. Step 3: Cross multiply
    34,702x = 74,668 × 74,668
  4. Step 4: Simplify right side
    34,702x = 5,575,310,224
  5. Step 5: Solve for x
    x = 5,575,310,224/34,702
  6. Step 6: Final answer
    x = 160,662.50

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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.