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Finding the Third Proportional to 43,143 and 88,376.63

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Solution

The third proportional to 43,143 and 88,376.63 is: 181,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,143 : 88,376.63 = 88,376.63 : x
  2. Step 2: Convert to fraction form
    43,143/88,376.63 = 88,376.63/x
  3. Step 3: Cross multiply
    43,143x = 88,376.63 × 88,376.63
  4. Step 4: Simplify right side
    43,143x = 7,810,427,846.39
  5. Step 5: Solve for x
    x = 7,810,427,846.39/43,143
  6. Step 6: Final answer
    x = 181,035.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.