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Finding the Third Proportional to 119,137.50 and 185,241

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Solution

The third proportional to 119,137.50 and 185,241 is: 288,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,137.50 : 185,241 = 185,241 : x
  2. Step 2: Convert to fraction form
    119,137.50/185,241 = 185,241/x
  3. Step 3: Cross multiply
    119,137.50x = 185,241 × 185,241
  4. Step 4: Simplify right side
    119,137.50x = 34,314,228,081
  5. Step 5: Solve for x
    x = 34,314,228,081/119,137.50
  6. Step 6: Final answer
    x = 288,022.06

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