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Finding the Third Proportional to 105,899 and 161,330

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Solution

The third proportional to 105,899 and 161,330 is: 245,775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,899 : 161,330 = 161,330 : x
  2. Step 2: Convert to fraction form
    105,899/161,330 = 161,330/x
  3. Step 3: Cross multiply
    105,899x = 161,330 × 161,330
  4. Step 4: Simplify right side
    105,899x = 26,027,368,900
  5. Step 5: Solve for x
    x = 26,027,368,900/105,899
  6. Step 6: Final answer
    x = 245,775.40

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