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Finding the Third Proportional to 42,747 and 92,738

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Solution

The third proportional to 42,747 and 92,738 is: 201,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,747 : 92,738 = 92,738 : x
  2. Step 2: Convert to fraction form
    42,747/92,738 = 92,738/x
  3. Step 3: Cross multiply
    42,747x = 92,738 × 92,738
  4. Step 4: Simplify right side
    42,747x = 8,600,336,644
  5. Step 5: Solve for x
    x = 8,600,336,644/42,747
  6. Step 6: Final answer
    x = 201,191.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.