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Finding the Third Proportional to 101,866 and 152,991

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Solution

The third proportional to 101,866 and 152,991 is: 229,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,866 : 152,991 = 152,991 : x
  2. Step 2: Convert to fraction form
    101,866/152,991 = 152,991/x
  3. Step 3: Cross multiply
    101,866x = 152,991 × 152,991
  4. Step 4: Simplify right side
    101,866x = 23,406,246,081
  5. Step 5: Solve for x
    x = 23,406,246,081/101,866
  6. Step 6: Final answer
    x = 229,774.86

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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.