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Finding the Third Proportional to 59,182 and 91,815

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Solution

The third proportional to 59,182 and 91,815 is: 142,441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,182 : 91,815 = 91,815 : x
  2. Step 2: Convert to fraction form
    59,182/91,815 = 91,815/x
  3. Step 3: Cross multiply
    59,182x = 91,815 × 91,815
  4. Step 4: Simplify right side
    59,182x = 8,429,994,225
  5. Step 5: Solve for x
    x = 8,429,994,225/59,182
  6. Step 6: Final answer
    x = 142,441.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.