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Finding the Third Proportional to 131,648 and 188,124

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Solution

The third proportional to 131,648 and 188,124 is: 268,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,648 : 188,124 = 188,124 : x
  2. Step 2: Convert to fraction form
    131,648/188,124 = 188,124/x
  3. Step 3: Cross multiply
    131,648x = 188,124 × 188,124
  4. Step 4: Simplify right side
    131,648x = 35,390,639,376
  5. Step 5: Solve for x
    x = 35,390,639,376/131,648
  6. Step 6: Final answer
    x = 268,827.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.