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Finding the Third Proportional to 77,012 and 167,200

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Solution

The third proportional to 77,012 and 167,200 is: 363,006.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,012 : 167,200 = 167,200 : x
  2. Step 2: Convert to fraction form
    77,012/167,200 = 167,200/x
  3. Step 3: Cross multiply
    77,012x = 167,200 × 167,200
  4. Step 4: Simplify right side
    77,012x = 27,955,840,000
  5. Step 5: Solve for x
    x = 27,955,840,000/77,012
  6. Step 6: Final answer
    x = 363,006.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.