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Finding the Third Proportional to 77,463 and 167,967

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Solution

The third proportional to 77,463 and 167,967 is: 364,211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,463 : 167,967 = 167,967 : x
  2. Step 2: Convert to fraction form
    77,463/167,967 = 167,967/x
  3. Step 3: Cross multiply
    77,463x = 167,967 × 167,967
  4. Step 4: Simplify right side
    77,463x = 28,212,913,089
  5. Step 5: Solve for x
    x = 28,212,913,089/77,463
  6. Step 6: Final answer
    x = 364,211.47

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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.