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Finding the Third Proportional to 42,194 and 63,387

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Solution

The third proportional to 42,194 and 63,387 is: 95,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,194 : 63,387 = 63,387 : x
  2. Step 2: Convert to fraction form
    42,194/63,387 = 63,387/x
  3. Step 3: Cross multiply
    42,194x = 63,387 × 63,387
  4. Step 4: Simplify right side
    42,194x = 4,017,911,769
  5. Step 5: Solve for x
    x = 4,017,911,769/42,194
  6. Step 6: Final answer
    x = 95,224.72

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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.