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Finding the Third Proportional to 55,866.38 and 119,731.50

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Solution

The third proportional to 55,866.38 and 119,731.50 is: 256,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,866.38 : 119,731.50 = 119,731.50 : x
  2. Step 2: Convert to fraction form
    55,866.38/119,731.50 = 119,731.50/x
  3. Step 3: Cross multiply
    55,866.38x = 119,731.50 × 119,731.50
  4. Step 4: Simplify right side
    55,866.38x = 14,335,632,092.25
  5. Step 5: Solve for x
    x = 14,335,632,092.25/55,866.38
  6. Step 6: Final answer
    x = 256,605.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.