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Finding the Third Proportional to 77,255.25 and 99,054.75

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Solution

The third proportional to 77,255.25 and 99,054.75 is: 127,005.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,255.25 : 99,054.75 = 99,054.75 : x
  2. Step 2: Convert to fraction form
    77,255.25/99,054.75 = 99,054.75/x
  3. Step 3: Cross multiply
    77,255.25x = 99,054.75 × 99,054.75
  4. Step 4: Simplify right side
    77,255.25x = 9,811,843,497.56
  5. Step 5: Solve for x
    x = 9,811,843,497.56/77,255.25
  6. Step 6: Final answer
    x = 127,005.52

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.