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Finding the Third Proportional to 42,301 and 92,969

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Solution

The third proportional to 42,301 and 92,969 is: 204,326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,301 : 92,969 = 92,969 : x
  2. Step 2: Convert to fraction form
    42,301/92,969 = 92,969/x
  3. Step 3: Cross multiply
    42,301x = 92,969 × 92,969
  4. Step 4: Simplify right side
    42,301x = 8,643,234,961
  5. Step 5: Solve for x
    x = 8,643,234,961/42,301
  6. Step 6: Final answer
    x = 204,326.97

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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.