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Finding the Third Proportional to 63,086 and 94,896

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Solution

The third proportional to 63,086 and 94,896 is: 142,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,086 : 94,896 = 94,896 : x
  2. Step 2: Convert to fraction form
    63,086/94,896 = 94,896/x
  3. Step 3: Cross multiply
    63,086x = 94,896 × 94,896
  4. Step 4: Simplify right side
    63,086x = 9,005,250,816
  5. Step 5: Solve for x
    x = 9,005,250,816/63,086
  6. Step 6: Final answer
    x = 142,745.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.