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Finding the Third Proportional to 106,116.75 and 160,542

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Solution

The third proportional to 106,116.75 and 160,542 is: 242,880.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,116.75 : 160,542 = 160,542 : x
  2. Step 2: Convert to fraction form
    106,116.75/160,542 = 160,542/x
  3. Step 3: Cross multiply
    106,116.75x = 160,542 × 160,542
  4. Step 4: Simplify right side
    106,116.75x = 25,773,733,764
  5. Step 5: Solve for x
    x = 25,773,733,764/106,116.75
  6. Step 6: Final answer
    x = 242,880.92

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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.