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Finding the Third Proportional to 131,854 and 195,314

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Solution

The third proportional to 131,854 and 195,314 is: 289,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,854 : 195,314 = 195,314 : x
  2. Step 2: Convert to fraction form
    131,854/195,314 = 195,314/x
  3. Step 3: Cross multiply
    131,854x = 195,314 × 195,314
  4. Step 4: Simplify right side
    131,854x = 38,147,558,596
  5. Step 5: Solve for x
    x = 38,147,558,596/131,854
  6. Step 6: Final answer
    x = 289,316.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.