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Finding the Third Proportional to 105,616.69 and 159,323.06

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Solution

The third proportional to 105,616.69 and 159,323.06 is: 240,339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,616.69 : 159,323.06 = 159,323.06 : x
  2. Step 2: Convert to fraction form
    105,616.69/159,323.06 = 159,323.06/x
  3. Step 3: Cross multiply
    105,616.69x = 159,323.06 × 159,323.06
  4. Step 4: Simplify right side
    105,616.69x = 25,383,838,244.38
  5. Step 5: Solve for x
    x = 25,383,838,244.38/105,616.69
  6. Step 6: Final answer
    x = 240,339.28

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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.