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Finding the Third Proportional to 43,143.50 and 88,377

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Solution

The third proportional to 43,143.50 and 88,377 is: 181,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,143.50 : 88,377 = 88,377 : x
  2. Step 2: Convert to fraction form
    43,143.50/88,377 = 88,377/x
  3. Step 3: Cross multiply
    43,143.50x = 88,377 × 88,377
  4. Step 4: Simplify right side
    43,143.50x = 7,810,494,129
  5. Step 5: Solve for x
    x = 7,810,494,129/43,143.50
  6. Step 6: Final answer
    x = 181,035.25

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