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Finding the Third Proportional to 41,958 and 86,746.50

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Solution

The third proportional to 41,958 and 86,746.50 is: 179,344.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,958 : 86,746.50 = 86,746.50 : x
  2. Step 2: Convert to fraction form
    41,958/86,746.50 = 86,746.50/x
  3. Step 3: Cross multiply
    41,958x = 86,746.50 × 86,746.50
  4. Step 4: Simplify right side
    41,958x = 7,524,955,262.25
  5. Step 5: Solve for x
    x = 7,524,955,262.25/41,958
  6. Step 6: Final answer
    x = 179,344.95

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.