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Finding the Third Proportional to 94,969 and 202,650

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Solution

The third proportional to 94,969 and 202,650 is: 432,425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,969 : 202,650 = 202,650 : x
  2. Step 2: Convert to fraction form
    94,969/202,650 = 202,650/x
  3. Step 3: Cross multiply
    94,969x = 202,650 × 202,650
  4. Step 4: Simplify right side
    94,969x = 41,067,022,500
  5. Step 5: Solve for x
    x = 41,067,022,500/94,969
  6. Step 6: Final answer
    x = 432,425.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.