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Finding the Third Proportional to 59,634 and 89,451

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Solution

The third proportional to 59,634 and 89,451 is: 134,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,634 : 89,451 = 89,451 : x
  2. Step 2: Convert to fraction form
    59,634/89,451 = 89,451/x
  3. Step 3: Cross multiply
    59,634x = 89,451 × 89,451
  4. Step 4: Simplify right side
    59,634x = 8,001,481,401
  5. Step 5: Solve for x
    x = 8,001,481,401/59,634
  6. Step 6: Final answer
    x = 134,176.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.