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Finding the Third Proportional to 105,516 and 140,950

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Solution

The third proportional to 105,516 and 140,950 is: 188,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,516 : 140,950 = 140,950 : x
  2. Step 2: Convert to fraction form
    105,516/140,950 = 140,950/x
  3. Step 3: Cross multiply
    105,516x = 140,950 × 140,950
  4. Step 4: Simplify right side
    105,516x = 19,866,902,500
  5. Step 5: Solve for x
    x = 19,866,902,500/105,516
  6. Step 6: Final answer
    x = 188,283.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.