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Finding the Third Proportional to 105,603.75 and 159,301.69

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Solution

The third proportional to 105,603.75 and 159,301.69 is: 240,304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,603.75 : 159,301.69 = 159,301.69 : x
  2. Step 2: Convert to fraction form
    105,603.75/159,301.69 = 159,301.69/x
  3. Step 3: Cross multiply
    105,603.75x = 159,301.69 × 159,301.69
  4. Step 4: Simplify right side
    105,603.75x = 25,377,027,640.35
  5. Step 5: Solve for x
    x = 25,377,027,640.35/105,603.75
  6. Step 6: Final answer
    x = 240,304.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.