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Finding the Third Proportional to 87,583.50 and 191,525.63

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Solution

The third proportional to 87,583.50 and 191,525.63 is: 418,823.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,583.50 : 191,525.63 = 191,525.63 : x
  2. Step 2: Convert to fraction form
    87,583.50/191,525.63 = 191,525.63/x
  3. Step 3: Cross multiply
    87,583.50x = 191,525.63 × 191,525.63
  4. Step 4: Simplify right side
    87,583.50x = 36,682,065,031.64
  5. Step 5: Solve for x
    x = 36,682,065,031.64/87,583.50
  6. Step 6: Final answer
    x = 418,823.92

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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.