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Finding the Third Proportional to 87,563.50 and 138,676

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Solution

The third proportional to 87,563.50 and 138,676 is: 219,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,563.50 : 138,676 = 138,676 : x
  2. Step 2: Convert to fraction form
    87,563.50/138,676 = 138,676/x
  3. Step 3: Cross multiply
    87,563.50x = 138,676 × 138,676
  4. Step 4: Simplify right side
    87,563.50x = 19,231,032,976
  5. Step 5: Solve for x
    x = 19,231,032,976/87,563.50
  6. Step 6: Final answer
    x = 219,623.85

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.