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Finding the Third Proportional to 120,668 and 177,388

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Solution

The third proportional to 120,668 and 177,388 is: 260,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,668 : 177,388 = 177,388 : x
  2. Step 2: Convert to fraction form
    120,668/177,388 = 177,388/x
  3. Step 3: Cross multiply
    120,668x = 177,388 × 177,388
  4. Step 4: Simplify right side
    120,668x = 31,466,502,544
  5. Step 5: Solve for x
    x = 31,466,502,544/120,668
  6. Step 6: Final answer
    x = 260,769.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.