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Finding the Third Proportional to 42,678 and 93,392

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Solution

The third proportional to 42,678 and 93,392 is: 204,369.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,678 : 93,392 = 93,392 : x
  2. Step 2: Convert to fraction form
    42,678/93,392 = 93,392/x
  3. Step 3: Cross multiply
    42,678x = 93,392 × 93,392
  4. Step 4: Simplify right side
    42,678x = 8,722,065,664
  5. Step 5: Solve for x
    x = 8,722,065,664/42,678
  6. Step 6: Final answer
    x = 204,369.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.