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Finding the Third Proportional to 63,958.50 and 89,463

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Solution

The third proportional to 63,958.50 and 89,463 is: 125,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,958.50 : 89,463 = 89,463 : x
  2. Step 2: Convert to fraction form
    63,958.50/89,463 = 89,463/x
  3. Step 3: Cross multiply
    63,958.50x = 89,463 × 89,463
  4. Step 4: Simplify right side
    63,958.50x = 8,003,628,369
  5. Step 5: Solve for x
    x = 8,003,628,369/63,958.50
  6. Step 6: Final answer
    x = 125,137.84

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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.