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Finding the Third Proportional to 105,900.75 and 161,334

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Solution

The third proportional to 105,900.75 and 161,334 is: 245,783.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,900.75 : 161,334 = 161,334 : x
  2. Step 2: Convert to fraction form
    105,900.75/161,334 = 161,334/x
  3. Step 3: Cross multiply
    105,900.75x = 161,334 × 161,334
  4. Step 4: Simplify right side
    105,900.75x = 26,028,659,556
  5. Step 5: Solve for x
    x = 26,028,659,556/105,900.75
  6. Step 6: Final answer
    x = 245,783.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.