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Finding the Third Proportional to 46,084 and 69,110

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Solution

The third proportional to 46,084 and 69,110 is: 103,641.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,084 : 69,110 = 69,110 : x
  2. Step 2: Convert to fraction form
    46,084/69,110 = 69,110/x
  3. Step 3: Cross multiply
    46,084x = 69,110 × 69,110
  4. Step 4: Simplify right side
    46,084x = 4,776,192,100
  5. Step 5: Solve for x
    x = 4,776,192,100/46,084
  6. Step 6: Final answer
    x = 103,641.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.