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Finding the Third Proportional to 54,687.38 and 85,676.63

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Solution

The third proportional to 54,687.38 and 85,676.63 is: 134,226.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,687.38 : 85,676.63 = 85,676.63 : x
  2. Step 2: Convert to fraction form
    54,687.38/85,676.63 = 85,676.63/x
  3. Step 3: Cross multiply
    54,687.38x = 85,676.63 × 85,676.63
  4. Step 4: Simplify right side
    54,687.38x = 7,340,484,071.39
  5. Step 5: Solve for x
    x = 7,340,484,071.39/54,687.38
  6. Step 6: Final answer
    x = 134,226.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.