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Finding the Third Proportional to 110,969 and 157,017

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Solution

The third proportional to 110,969 and 157,017 is: 222,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,969 : 157,017 = 157,017 : x
  2. Step 2: Convert to fraction form
    110,969/157,017 = 157,017/x
  3. Step 3: Cross multiply
    110,969x = 157,017 × 157,017
  4. Step 4: Simplify right side
    110,969x = 24,654,338,289
  5. Step 5: Solve for x
    x = 24,654,338,289/110,969
  6. Step 6: Final answer
    x = 222,173.20

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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.