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Finding the Third Proportional to 77,544 and 167,466

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Solution

The third proportional to 77,544 and 167,466 is: 361,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,544 : 167,466 = 167,466 : x
  2. Step 2: Convert to fraction form
    77,544/167,466 = 167,466/x
  3. Step 3: Cross multiply
    77,544x = 167,466 × 167,466
  4. Step 4: Simplify right side
    77,544x = 28,044,861,156
  5. Step 5: Solve for x
    x = 28,044,861,156/77,544
  6. Step 6: Final answer
    x = 361,663.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.