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Finding the Third Proportional to 87,585.50 and 191,529

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Solution

The third proportional to 87,585.50 and 191,529 is: 418,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,585.50 : 191,529 = 191,529 : x
  2. Step 2: Convert to fraction form
    87,585.50/191,529 = 191,529/x
  3. Step 3: Cross multiply
    87,585.50x = 191,529 × 191,529
  4. Step 4: Simplify right side
    87,585.50x = 36,683,357,841
  5. Step 5: Solve for x
    x = 36,683,357,841/87,585.50
  6. Step 6: Final answer
    x = 418,829.12

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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.