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Finding the Third Proportional to 65,944.13 and 141,878.81

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Solution

The third proportional to 65,944.13 and 141,878.81 is: 305,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,944.13 : 141,878.81 = 141,878.81 : x
  2. Step 2: Convert to fraction form
    65,944.13/141,878.81 = 141,878.81/x
  3. Step 3: Cross multiply
    65,944.13x = 141,878.81 × 141,878.81
  4. Step 4: Simplify right side
    65,944.13x = 20,129,597,436.41
  5. Step 5: Solve for x
    x = 20,129,597,436.41/65,944.13
  6. Step 6: Final answer
    x = 305,252.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.