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Finding the Third Proportional to 73,407.94 and 140,983.88

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Solution

The third proportional to 73,407.94 and 140,983.88 is: 270,767.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,407.94 : 140,983.88 = 140,983.88 : x
  2. Step 2: Convert to fraction form
    73,407.94/140,983.88 = 140,983.88/x
  3. Step 3: Cross multiply
    73,407.94x = 140,983.88 × 140,983.88
  4. Step 4: Simplify right side
    73,407.94x = 19,876,453,010.02
  5. Step 5: Solve for x
    x = 19,876,453,010.02/73,407.94
  6. Step 6: Final answer
    x = 270,767.08

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.