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Finding the Third Proportional to 64,789.88 and 105,796.13

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Solution

The third proportional to 64,789.88 and 105,796.13 is: 172,755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,789.88 : 105,796.13 = 105,796.13 : x
  2. Step 2: Convert to fraction form
    64,789.88/105,796.13 = 105,796.13/x
  3. Step 3: Cross multiply
    64,789.88x = 105,796.13 × 105,796.13
  4. Step 4: Simplify right side
    64,789.88x = 11,192,820,065.02
  5. Step 5: Solve for x
    x = 11,192,820,065.02/64,789.88
  6. Step 6: Final answer
    x = 172,755.70

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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.