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Finding the Third Proportional to 42,192 and 63,384

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Solution

The third proportional to 42,192 and 63,384 is: 95,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,192 : 63,384 = 63,384 : x
  2. Step 2: Convert to fraction form
    42,192/63,384 = 63,384/x
  3. Step 3: Cross multiply
    42,192x = 63,384 × 63,384
  4. Step 4: Simplify right side
    42,192x = 4,017,531,456
  5. Step 5: Solve for x
    x = 4,017,531,456/42,192
  6. Step 6: Final answer
    x = 95,220.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.