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Finding the Third Proportional to 105,382.13 and 158,077.13

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Solution

The third proportional to 105,382.13 and 158,077.13 is: 237,121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,382.13 : 158,077.13 = 158,077.13 : x
  2. Step 2: Convert to fraction form
    105,382.13/158,077.13 = 158,077.13/x
  3. Step 3: Cross multiply
    105,382.13x = 158,077.13 × 158,077.13
  4. Step 4: Simplify right side
    105,382.13x = 24,988,377,448.27
  5. Step 5: Solve for x
    x = 24,988,377,448.27/105,382.13
  6. Step 6: Final answer
    x = 237,121.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.