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Finding the Third Proportional to 77,540 and 167,464

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Solution

The third proportional to 77,540 and 167,464 is: 361,673.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,540 : 167,464 = 167,464 : x
  2. Step 2: Convert to fraction form
    77,540/167,464 = 167,464/x
  3. Step 3: Cross multiply
    77,540x = 167,464 × 167,464
  4. Step 4: Simplify right side
    77,540x = 28,044,191,296
  5. Step 5: Solve for x
    x = 28,044,191,296/77,540
  6. Step 6: Final answer
    x = 361,673.86

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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.