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Finding the Third Proportional to 69,066.75 and 106,651.13

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Solution

The third proportional to 69,066.75 and 106,651.13 is: 164,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,066.75 : 106,651.13 = 106,651.13 : x
  2. Step 2: Convert to fraction form
    69,066.75/106,651.13 = 106,651.13/x
  3. Step 3: Cross multiply
    69,066.75x = 106,651.13 × 106,651.13
  4. Step 4: Simplify right side
    69,066.75x = 11,374,462,463.77
  5. Step 5: Solve for x
    x = 11,374,462,463.77/69,066.75
  6. Step 6: Final answer
    x = 164,687.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.