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Finding the Third Proportional to 134,456 and 195,376

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Solution

The third proportional to 134,456 and 195,376 is: 283,897.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,456 : 195,376 = 195,376 : x
  2. Step 2: Convert to fraction form
    134,456/195,376 = 195,376/x
  3. Step 3: Cross multiply
    134,456x = 195,376 × 195,376
  4. Step 4: Simplify right side
    134,456x = 38,171,781,376
  5. Step 5: Solve for x
    x = 38,171,781,376/134,456
  6. Step 6: Final answer
    x = 283,897.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.