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Finding the Third Proportional to 59,832 and 92,636

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Solution

The third proportional to 59,832 and 92,636 is: 143,425.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,832 : 92,636 = 92,636 : x
  2. Step 2: Convert to fraction form
    59,832/92,636 = 92,636/x
  3. Step 3: Cross multiply
    59,832x = 92,636 × 92,636
  4. Step 4: Simplify right side
    59,832x = 8,581,428,496
  5. Step 5: Solve for x
    x = 8,581,428,496/59,832
  6. Step 6: Final answer
    x = 143,425.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.