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Finding the Third Proportional to 66,268.13 and 102,381.75

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Solution

The third proportional to 66,268.13 and 102,381.75 is: 158,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,268.13 : 102,381.75 = 102,381.75 : x
  2. Step 2: Convert to fraction form
    66,268.13/102,381.75 = 102,381.75/x
  3. Step 3: Cross multiply
    66,268.13x = 102,381.75 × 102,381.75
  4. Step 4: Simplify right side
    66,268.13x = 10,482,022,733.06
  5. Step 5: Solve for x
    x = 10,482,022,733.06/66,268.13
  6. Step 6: Final answer
    x = 158,175.94

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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.