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Finding the Third Proportional to 69,074 and 152,668

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Solution

The third proportional to 69,074 and 152,668 is: 337,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,074 : 152,668 = 152,668 : x
  2. Step 2: Convert to fraction form
    69,074/152,668 = 152,668/x
  3. Step 3: Cross multiply
    69,074x = 152,668 × 152,668
  4. Step 4: Simplify right side
    69,074x = 23,307,518,224
  5. Step 5: Solve for x
    x = 23,307,518,224/69,074
  6. Step 6: Final answer
    x = 337,428.24

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.