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Finding the Third Proportional to 87,773.50 and 132,435

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Solution

The third proportional to 87,773.50 and 132,435 is: 199,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,773.50 : 132,435 = 132,435 : x
  2. Step 2: Convert to fraction form
    87,773.50/132,435 = 132,435/x
  3. Step 3: Cross multiply
    87,773.50x = 132,435 × 132,435
  4. Step 4: Simplify right side
    87,773.50x = 17,539,029,225
  5. Step 5: Solve for x
    x = 17,539,029,225/87,773.50
  6. Step 6: Final answer
    x = 199,821.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.