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Finding the Third Proportional to 119,161.13 and 185,773.50

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Solution

The third proportional to 119,161.13 and 185,773.50 is: 289,622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,161.13 : 185,773.50 = 185,773.50 : x
  2. Step 2: Convert to fraction form
    119,161.13/185,773.50 = 185,773.50/x
  3. Step 3: Cross multiply
    119,161.13x = 185,773.50 × 185,773.50
  4. Step 4: Simplify right side
    119,161.13x = 34,511,793,302.25
  5. Step 5: Solve for x
    x = 34,511,793,302.25/119,161.13
  6. Step 6: Final answer
    x = 289,622.92

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.