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Finding the Third Proportional to 68,808.94 and 105,264.56

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Solution

The third proportional to 68,808.94 and 105,264.56 is: 161,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,808.94 : 105,264.56 = 105,264.56 : x
  2. Step 2: Convert to fraction form
    68,808.94/105,264.56 = 105,264.56/x
  3. Step 3: Cross multiply
    68,808.94x = 105,264.56 × 105,264.56
  4. Step 4: Simplify right side
    68,808.94x = 11,080,628,118.32
  5. Step 5: Solve for x
    x = 11,080,628,118.32/68,808.94
  6. Step 6: Final answer
    x = 161,034.72

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.