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Finding the Third Proportional to 59,491 and 79,306

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Solution

The third proportional to 59,491 and 79,306 is: 105,720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,491 : 79,306 = 79,306 : x
  2. Step 2: Convert to fraction form
    59,491/79,306 = 79,306/x
  3. Step 3: Cross multiply
    59,491x = 79,306 × 79,306
  4. Step 4: Simplify right side
    59,491x = 6,289,441,636
  5. Step 5: Solve for x
    x = 6,289,441,636/59,491
  6. Step 6: Final answer
    x = 105,720.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.