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Finding the Third Proportional to 101,110.50 and 152,921

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Solution

The third proportional to 101,110.50 and 152,921 is: 231,279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,110.50 : 152,921 = 152,921 : x
  2. Step 2: Convert to fraction form
    101,110.50/152,921 = 152,921/x
  3. Step 3: Cross multiply
    101,110.50x = 152,921 × 152,921
  4. Step 4: Simplify right side
    101,110.50x = 23,384,832,241
  5. Step 5: Solve for x
    x = 23,384,832,241/101,110.50
  6. Step 6: Final answer
    x = 231,279.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.