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Finding the Third Proportional to 104,202 and 161,451

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Solution

The third proportional to 104,202 and 161,451 is: 250,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,202 : 161,451 = 161,451 : x
  2. Step 2: Convert to fraction form
    104,202/161,451 = 161,451/x
  3. Step 3: Cross multiply
    104,202x = 161,451 × 161,451
  4. Step 4: Simplify right side
    104,202x = 26,066,425,401
  5. Step 5: Solve for x
    x = 26,066,425,401/104,202
  6. Step 6: Final answer
    x = 250,152.83

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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.