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Finding the Third Proportional to 87,688.50 and 193,251

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Solution

The third proportional to 87,688.50 and 193,251 is: 425,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,688.50 : 193,251 = 193,251 : x
  2. Step 2: Convert to fraction form
    87,688.50/193,251 = 193,251/x
  3. Step 3: Cross multiply
    87,688.50x = 193,251 × 193,251
  4. Step 4: Simplify right side
    87,688.50x = 37,345,949,001
  5. Step 5: Solve for x
    x = 37,345,949,001/87,688.50
  6. Step 6: Final answer
    x = 425,893.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.