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Finding the Third Proportional to 43,235 and 88,605

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Solution

The third proportional to 43,235 and 88,605 is: 181,585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,235 : 88,605 = 88,605 : x
  2. Step 2: Convert to fraction form
    43,235/88,605 = 88,605/x
  3. Step 3: Cross multiply
    43,235x = 88,605 × 88,605
  4. Step 4: Simplify right side
    43,235x = 7,850,846,025
  5. Step 5: Solve for x
    x = 7,850,846,025/43,235
  6. Step 6: Final answer
    x = 181,585.43

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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.