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Finding the Third Proportional to 42,011 and 92,305

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Solution

The third proportional to 42,011 and 92,305 is: 202,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,011 : 92,305 = 92,305 : x
  2. Step 2: Convert to fraction form
    42,011/92,305 = 92,305/x
  3. Step 3: Cross multiply
    42,011x = 92,305 × 92,305
  4. Step 4: Simplify right side
    42,011x = 8,520,213,025
  5. Step 5: Solve for x
    x = 8,520,213,025/42,011
  6. Step 6: Final answer
    x = 202,809.10

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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.