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Finding the Third Proportional to 43,102.13 and 67,052.81

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Solution

The third proportional to 43,102.13 and 67,052.81 is: 104,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,102.13 : 67,052.81 = 67,052.81 : x
  2. Step 2: Convert to fraction form
    43,102.13/67,052.81 = 67,052.81/x
  3. Step 3: Cross multiply
    43,102.13x = 67,052.81 × 67,052.81
  4. Step 4: Simplify right side
    43,102.13x = 4,496,079,664.16
  5. Step 5: Solve for x
    x = 4,496,079,664.16/43,102.13
  6. Step 6: Final answer
    x = 104,312.25

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.