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Finding the Third Proportional to 69,026 and 107,091

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Solution

The third proportional to 69,026 and 107,091 is: 166,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,026 : 107,091 = 107,091 : x
  2. Step 2: Convert to fraction form
    69,026/107,091 = 107,091/x
  3. Step 3: Cross multiply
    69,026x = 107,091 × 107,091
  4. Step 4: Simplify right side
    69,026x = 11,468,482,281
  5. Step 5: Solve for x
    x = 11,468,482,281/69,026
  6. Step 6: Final answer
    x = 166,147.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.