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Finding the Third Proportional to 42,085 and 92,218

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Solution

The third proportional to 42,085 and 92,218 is: 202,071.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,085 : 92,218 = 92,218 : x
  2. Step 2: Convert to fraction form
    42,085/92,218 = 92,218/x
  3. Step 3: Cross multiply
    42,085x = 92,218 × 92,218
  4. Step 4: Simplify right side
    42,085x = 8,504,159,524
  5. Step 5: Solve for x
    x = 8,504,159,524/42,085
  6. Step 6: Final answer
    x = 202,071.04

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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.