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Finding the Third Proportional to 67,092 and 144,694.13

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Solution

The third proportional to 67,092 and 144,694.13 is: 312,054.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,092 : 144,694.13 = 144,694.13 : x
  2. Step 2: Convert to fraction form
    67,092/144,694.13 = 144,694.13/x
  3. Step 3: Cross multiply
    67,092x = 144,694.13 × 144,694.13
  4. Step 4: Simplify right side
    67,092x = 20,936,389,809.52
  5. Step 5: Solve for x
    x = 20,936,389,809.52/67,092
  6. Step 6: Final answer
    x = 312,054.94

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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.