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Finding the Third Proportional to 92,714 and 202,924

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Solution

The third proportional to 92,714 and 202,924 is: 444,141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,714 : 202,924 = 202,924 : x
  2. Step 2: Convert to fraction form
    92,714/202,924 = 202,924/x
  3. Step 3: Cross multiply
    92,714x = 202,924 × 202,924
  4. Step 4: Simplify right side
    92,714x = 41,178,149,776
  5. Step 5: Solve for x
    x = 41,178,149,776/92,714
  6. Step 6: Final answer
    x = 444,141.66

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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.