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Finding the Third Proportional to 94,257 and 202,959

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Solution

The third proportional to 94,257 and 202,959 is: 437,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,257 : 202,959 = 202,959 : x
  2. Step 2: Convert to fraction form
    94,257/202,959 = 202,959/x
  3. Step 3: Cross multiply
    94,257x = 202,959 × 202,959
  4. Step 4: Simplify right side
    94,257x = 41,192,355,681
  5. Step 5: Solve for x
    x = 41,192,355,681/94,257
  6. Step 6: Final answer
    x = 437,021.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.