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Finding the Third Proportional to 67,116 and 144,741

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Solution

The third proportional to 67,116 and 144,741 is: 312,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,116 : 144,741 = 144,741 : x
  2. Step 2: Convert to fraction form
    67,116/144,741 = 144,741/x
  3. Step 3: Cross multiply
    67,116x = 144,741 × 144,741
  4. Step 4: Simplify right side
    67,116x = 20,949,957,081
  5. Step 5: Solve for x
    x = 20,949,957,081/67,116
  6. Step 6: Final answer
    x = 312,145.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.