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Finding the Third Proportional to 59,962 and 92,647

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Solution

The third proportional to 59,962 and 92,647 is: 143,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,962 : 92,647 = 92,647 : x
  2. Step 2: Convert to fraction form
    59,962/92,647 = 92,647/x
  3. Step 3: Cross multiply
    59,962x = 92,647 × 92,647
  4. Step 4: Simplify right side
    59,962x = 8,583,466,609
  5. Step 5: Solve for x
    x = 8,583,466,609/59,962
  6. Step 6: Final answer
    x = 143,148.44

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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.