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Finding the Third Proportional to 104,226 and 161,484

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Solution

The third proportional to 104,226 and 161,484 is: 250,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,226 : 161,484 = 161,484 : x
  2. Step 2: Convert to fraction form
    104,226/161,484 = 161,484/x
  3. Step 3: Cross multiply
    104,226x = 161,484 × 161,484
  4. Step 4: Simplify right side
    104,226x = 26,077,082,256
  5. Step 5: Solve for x
    x = 26,077,082,256/104,226
  6. Step 6: Final answer
    x = 250,197.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.