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Finding the Third Proportional to 42,348 and 83,634

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Solution

The third proportional to 42,348 and 83,634 is: 165,170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,348 : 83,634 = 83,634 : x
  2. Step 2: Convert to fraction form
    42,348/83,634 = 83,634/x
  3. Step 3: Cross multiply
    42,348x = 83,634 × 83,634
  4. Step 4: Simplify right side
    42,348x = 6,994,645,956
  5. Step 5: Solve for x
    x = 6,994,645,956/42,348
  6. Step 6: Final answer
    x = 165,170.63

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.