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Finding the Third Proportional to 110,190 and 145,518

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Solution

The third proportional to 110,190 and 145,518 is: 192,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,190 : 145,518 = 145,518 : x
  2. Step 2: Convert to fraction form
    110,190/145,518 = 145,518/x
  3. Step 3: Cross multiply
    110,190x = 145,518 × 145,518
  4. Step 4: Simplify right side
    110,190x = 21,175,488,324
  5. Step 5: Solve for x
    x = 21,175,488,324/110,190
  6. Step 6: Final answer
    x = 192,172.50

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.