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Finding the Third Proportional to 50,144.06 and 77,894.16

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Solution

The third proportional to 50,144.06 and 77,894.16 is: 121,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,144.06 : 77,894.16 = 77,894.16 : x
  2. Step 2: Convert to fraction form
    50,144.06/77,894.16 = 77,894.16/x
  3. Step 3: Cross multiply
    50,144.06x = 77,894.16 × 77,894.16
  4. Step 4: Simplify right side
    50,144.06x = 6,067,499,577.90
  5. Step 5: Solve for x
    x = 6,067,499,577.90/50,144.06
  6. Step 6: Final answer
    x = 121,001.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.