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Finding the Third Proportional to 105,004.69 and 161,490.38

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Solution

The third proportional to 105,004.69 and 161,490.38 is: 248,361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,004.69 : 161,490.38 = 161,490.38 : x
  2. Step 2: Convert to fraction form
    105,004.69/161,490.38 = 161,490.38/x
  3. Step 3: Cross multiply
    105,004.69x = 161,490.38 × 161,490.38
  4. Step 4: Simplify right side
    105,004.69x = 26,079,141,217.64
  5. Step 5: Solve for x
    x = 26,079,141,217.64/105,004.69
  6. Step 6: Final answer
    x = 248,361.69

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