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Finding the Third Proportional to 34,666 and 75,668

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Solution

The third proportional to 34,666 and 75,668 is: 165,166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,666 : 75,668 = 75,668 : x
  2. Step 2: Convert to fraction form
    34,666/75,668 = 75,668/x
  3. Step 3: Cross multiply
    34,666x = 75,668 × 75,668
  4. Step 4: Simplify right side
    34,666x = 5,725,646,224
  5. Step 5: Solve for x
    x = 5,725,646,224/34,666
  6. Step 6: Final answer
    x = 165,166.05

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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.