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Finding the Third Proportional to 87,673.50 and 191,925

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Solution

The third proportional to 87,673.50 and 191,925 is: 420,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,673.50 : 191,925 = 191,925 : x
  2. Step 2: Convert to fraction form
    87,673.50/191,925 = 191,925/x
  3. Step 3: Cross multiply
    87,673.50x = 191,925 × 191,925
  4. Step 4: Simplify right side
    87,673.50x = 36,835,205,625
  5. Step 5: Solve for x
    x = 36,835,205,625/87,673.50
  6. Step 6: Final answer
    x = 420,140.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.