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Finding the Third Proportional to 119,654.50 and 185,251.50

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Solution

The third proportional to 119,654.50 and 185,251.50 is: 286,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,654.50 : 185,251.50 = 185,251.50 : x
  2. Step 2: Convert to fraction form
    119,654.50/185,251.50 = 185,251.50/x
  3. Step 3: Cross multiply
    119,654.50x = 185,251.50 × 185,251.50
  4. Step 4: Simplify right side
    119,654.50x = 34,318,118,252.25
  5. Step 5: Solve for x
    x = 34,318,118,252.25/119,654.50
  6. Step 6: Final answer
    x = 286,810.09

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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.