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Finding the Third Proportional to 64,794 and 105,803.25

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Solution

The third proportional to 64,794 and 105,803.25 is: 172,767.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,794 : 105,803.25 = 105,803.25 : x
  2. Step 2: Convert to fraction form
    64,794/105,803.25 = 105,803.25/x
  3. Step 3: Cross multiply
    64,794x = 105,803.25 × 105,803.25
  4. Step 4: Simplify right side
    64,794x = 11,194,327,710.56
  5. Step 5: Solve for x
    x = 11,194,327,710.56/64,794
  6. Step 6: Final answer
    x = 172,767.97

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.