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Finding the Third Proportional to 42,676 and 88,826

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Solution

The third proportional to 42,676 and 88,826 is: 184,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,676 : 88,826 = 88,826 : x
  2. Step 2: Convert to fraction form
    42,676/88,826 = 88,826/x
  3. Step 3: Cross multiply
    42,676x = 88,826 × 88,826
  4. Step 4: Simplify right side
    42,676x = 7,890,058,276
  5. Step 5: Solve for x
    x = 7,890,058,276/42,676
  6. Step 6: Final answer
    x = 184,882.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.