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Finding the Third Proportional to 143,124 and 188,262

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Solution

The third proportional to 143,124 and 188,262 is: 247,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,124 : 188,262 = 188,262 : x
  2. Step 2: Convert to fraction form
    143,124/188,262 = 188,262/x
  3. Step 3: Cross multiply
    143,124x = 188,262 × 188,262
  4. Step 4: Simplify right side
    143,124x = 35,442,580,644
  5. Step 5: Solve for x
    x = 35,442,580,644/143,124
  6. Step 6: Final answer
    x = 247,635.48

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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.