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Finding the Third Proportional to 46,110 and 73,314

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Solution

The third proportional to 46,110 and 73,314 is: 116,567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,110 : 73,314 = 73,314 : x
  2. Step 2: Convert to fraction form
    46,110/73,314 = 73,314/x
  3. Step 3: Cross multiply
    46,110x = 73,314 × 73,314
  4. Step 4: Simplify right side
    46,110x = 5,374,942,596
  5. Step 5: Solve for x
    x = 5,374,942,596/46,110
  6. Step 6: Final answer
    x = 116,567.83

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.