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Finding the Third Proportional to 42,038 and 92,266

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Solution

The third proportional to 42,038 and 92,266 is: 202,507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,038 : 92,266 = 92,266 : x
  2. Step 2: Convert to fraction form
    42,038/92,266 = 92,266/x
  3. Step 3: Cross multiply
    42,038x = 92,266 × 92,266
  4. Step 4: Simplify right side
    42,038x = 8,513,014,756
  5. Step 5: Solve for x
    x = 8,513,014,756/42,038
  6. Step 6: Final answer
    x = 202,507.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.