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Finding the Third Proportional to 103,924 and 152,183

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Solution

The third proportional to 103,924 and 152,183 is: 222,851.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,924 : 152,183 = 152,183 : x
  2. Step 2: Convert to fraction form
    103,924/152,183 = 152,183/x
  3. Step 3: Cross multiply
    103,924x = 152,183 × 152,183
  4. Step 4: Simplify right side
    103,924x = 23,159,665,489
  5. Step 5: Solve for x
    x = 23,159,665,489/103,924
  6. Step 6: Final answer
    x = 222,851.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.