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Finding the Third Proportional to 46,241 and 71,739

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Solution

The third proportional to 46,241 and 71,739 is: 111,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,241 : 71,739 = 71,739 : x
  2. Step 2: Convert to fraction form
    46,241/71,739 = 71,739/x
  3. Step 3: Cross multiply
    46,241x = 71,739 × 71,739
  4. Step 4: Simplify right side
    46,241x = 5,146,484,121
  5. Step 5: Solve for x
    x = 5,146,484,121/46,241
  6. Step 6: Final answer
    x = 111,296.99

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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.