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Finding the Third Proportional to 27,142.59 and 59,805.84

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Solution

The third proportional to 27,142.59 and 59,805.84 is: 131,775.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.59 : 59,805.84 = 59,805.84 : x
  2. Step 2: Convert to fraction form
    27,142.59/59,805.84 = 59,805.84/x
  3. Step 3: Cross multiply
    27,142.59x = 59,805.84 × 59,805.84
  4. Step 4: Simplify right side
    27,142.59x = 3,576,738,946.65
  5. Step 5: Solve for x
    x = 3,576,738,946.65/27,142.59
  6. Step 6: Final answer
    x = 131,775.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.