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Finding the Third Proportional to 105,108 and 158,754

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Solution

The third proportional to 105,108 and 158,754 is: 239,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,108 : 158,754 = 158,754 : x
  2. Step 2: Convert to fraction form
    105,108/158,754 = 158,754/x
  3. Step 3: Cross multiply
    105,108x = 158,754 × 158,754
  4. Step 4: Simplify right side
    105,108x = 25,202,832,516
  5. Step 5: Solve for x
    x = 25,202,832,516/105,108
  6. Step 6: Final answer
    x = 239,780.35

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Why These Related Problems?

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