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Finding the Third Proportional to 110,868 and 169,069

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Solution

The third proportional to 110,868 and 169,069 is: 257,823.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,868 : 169,069 = 169,069 : x
  2. Step 2: Convert to fraction form
    110,868/169,069 = 169,069/x
  3. Step 3: Cross multiply
    110,868x = 169,069 × 169,069
  4. Step 4: Simplify right side
    110,868x = 28,584,326,761
  5. Step 5: Solve for x
    x = 28,584,326,761/110,868
  6. Step 6: Final answer
    x = 257,823.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.