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Finding the Third Proportional to 92,719 and 202,934

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Solution

The third proportional to 92,719 and 202,934 is: 444,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,719 : 202,934 = 202,934 : x
  2. Step 2: Convert to fraction form
    92,719/202,934 = 202,934/x
  3. Step 3: Cross multiply
    92,719x = 202,934 × 202,934
  4. Step 4: Simplify right side
    92,719x = 41,182,208,356
  5. Step 5: Solve for x
    x = 41,182,208,356/92,719
  6. Step 6: Final answer
    x = 444,161.48

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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.