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Finding the Third Proportional to 46,116 and 69,360

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Solution

The third proportional to 46,116 and 69,360 is: 104,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,116 : 69,360 = 69,360 : x
  2. Step 2: Convert to fraction form
    46,116/69,360 = 69,360/x
  3. Step 3: Cross multiply
    46,116x = 69,360 × 69,360
  4. Step 4: Simplify right side
    46,116x = 4,810,809,600
  5. Step 5: Solve for x
    x = 4,810,809,600/46,116
  6. Step 6: Final answer
    x = 104,319.75

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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.