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Finding the Third Proportional to 59,914.50 and 90,966

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Solution

The third proportional to 59,914.50 and 90,966 is: 138,110.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,914.50 : 90,966 = 90,966 : x
  2. Step 2: Convert to fraction form
    59,914.50/90,966 = 90,966/x
  3. Step 3: Cross multiply
    59,914.50x = 90,966 × 90,966
  4. Step 4: Simplify right side
    59,914.50x = 8,274,813,156
  5. Step 5: Solve for x
    x = 8,274,813,156/59,914.50
  6. Step 6: Final answer
    x = 138,110.36

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.