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Finding the Third Proportional to 74,121 and 153,183

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Solution

The third proportional to 74,121 and 153,183 is: 316,577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,121 : 153,183 = 153,183 : x
  2. Step 2: Convert to fraction form
    74,121/153,183 = 153,183/x
  3. Step 3: Cross multiply
    74,121x = 153,183 × 153,183
  4. Step 4: Simplify right side
    74,121x = 23,465,031,489
  5. Step 5: Solve for x
    x = 23,465,031,489/74,121
  6. Step 6: Final answer
    x = 316,577.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.