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Finding the Third Proportional to 63,723 and 89,127

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Solution

The third proportional to 63,723 and 89,127 is: 124,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,723 : 89,127 = 89,127 : x
  2. Step 2: Convert to fraction form
    63,723/89,127 = 89,127/x
  3. Step 3: Cross multiply
    63,723x = 89,127 × 89,127
  4. Step 4: Simplify right side
    63,723x = 7,943,622,129
  5. Step 5: Solve for x
    x = 7,943,622,129/63,723
  6. Step 6: Final answer
    x = 124,658.63

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.