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Finding the Third Proportional to 99,091 and 148,667

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Solution

The third proportional to 99,091 and 148,667 is: 223,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,091 : 148,667 = 148,667 : x
  2. Step 2: Convert to fraction form
    99,091/148,667 = 148,667/x
  3. Step 3: Cross multiply
    99,091x = 148,667 × 148,667
  4. Step 4: Simplify right side
    99,091x = 22,101,876,889
  5. Step 5: Solve for x
    x = 22,101,876,889/99,091
  6. Step 6: Final answer
    x = 223,046.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.