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Finding the Third Proportional to 105,059 and 161,477

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Solution

The third proportional to 105,059 and 161,477 is: 248,192.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,059 : 161,477 = 161,477 : x
  2. Step 2: Convert to fraction form
    105,059/161,477 = 161,477/x
  3. Step 3: Cross multiply
    105,059x = 161,477 × 161,477
  4. Step 4: Simplify right side
    105,059x = 26,074,821,529
  5. Step 5: Solve for x
    x = 26,074,821,529/105,059
  6. Step 6: Final answer
    x = 248,192.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.