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Finding the Third Proportional to 110,987 and 157,044

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Solution

The third proportional to 110,987 and 157,044 is: 222,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,987 : 157,044 = 157,044 : x
  2. Step 2: Convert to fraction form
    110,987/157,044 = 157,044/x
  3. Step 3: Cross multiply
    110,987x = 157,044 × 157,044
  4. Step 4: Simplify right side
    110,987x = 24,662,817,936
  5. Step 5: Solve for x
    x = 24,662,817,936/110,987
  6. Step 6: Final answer
    x = 222,213.57

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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.