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Finding the Third Proportional to 42,012 and 92,306

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Solution

The third proportional to 42,012 and 92,306 is: 202,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,012 : 92,306 = 92,306 : x
  2. Step 2: Convert to fraction form
    42,012/92,306 = 92,306/x
  3. Step 3: Cross multiply
    42,012x = 92,306 × 92,306
  4. Step 4: Simplify right side
    42,012x = 8,520,397,636
  5. Step 5: Solve for x
    x = 8,520,397,636/42,012
  6. Step 6: Final answer
    x = 202,808.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.