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Finding the Third Proportional to 63,893 and 92,012

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Solution

The third proportional to 63,893 and 92,012 is: 132,506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,893 : 92,012 = 92,012 : x
  2. Step 2: Convert to fraction form
    63,893/92,012 = 92,012/x
  3. Step 3: Cross multiply
    63,893x = 92,012 × 92,012
  4. Step 4: Simplify right side
    63,893x = 8,466,208,144
  5. Step 5: Solve for x
    x = 8,466,208,144/63,893
  6. Step 6: Final answer
    x = 132,506.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.