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Finding the Third Proportional to 110,967 and 157,015

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Solution

The third proportional to 110,967 and 157,015 is: 222,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,967 : 157,015 = 157,015 : x
  2. Step 2: Convert to fraction form
    110,967/157,015 = 157,015/x
  3. Step 3: Cross multiply
    110,967x = 157,015 × 157,015
  4. Step 4: Simplify right side
    110,967x = 24,653,710,225
  5. Step 5: Solve for x
    x = 24,653,710,225/110,967
  6. Step 6: Final answer
    x = 222,171.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.