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Finding the Third Proportional to 51,995.38 and 82,261.25

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Solution

The third proportional to 51,995.38 and 82,261.25 is: 130,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,995.38 : 82,261.25 = 82,261.25 : x
  2. Step 2: Convert to fraction form
    51,995.38/82,261.25 = 82,261.25/x
  3. Step 3: Cross multiply
    51,995.38x = 82,261.25 × 82,261.25
  4. Step 4: Simplify right side
    51,995.38x = 6,766,913,251.56
  5. Step 5: Solve for x
    x = 6,766,913,251.56/51,995.38
  6. Step 6: Final answer
    x = 130,144.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.