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Finding the Third Proportional to 87,652.50 and 191,886

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Solution

The third proportional to 87,652.50 and 191,886 is: 420,070.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,652.50 : 191,886 = 191,886 : x
  2. Step 2: Convert to fraction form
    87,652.50/191,886 = 191,886/x
  3. Step 3: Cross multiply
    87,652.50x = 191,886 × 191,886
  4. Step 4: Simplify right side
    87,652.50x = 36,820,236,996
  5. Step 5: Solve for x
    x = 36,820,236,996/87,652.50
  6. Step 6: Final answer
    x = 420,070.59

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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.