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Finding the Third Proportional to 43,542 and 88,928

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Solution

The third proportional to 43,542 and 88,928 is: 181,622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,542 : 88,928 = 88,928 : x
  2. Step 2: Convert to fraction form
    43,542/88,928 = 88,928/x
  3. Step 3: Cross multiply
    43,542x = 88,928 × 88,928
  4. Step 4: Simplify right side
    43,542x = 7,908,189,184
  5. Step 5: Solve for x
    x = 7,908,189,184/43,542
  6. Step 6: Final answer
    x = 181,622.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.