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Finding the Third Proportional to 92,076 and 198,642

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Solution

The third proportional to 92,076 and 198,642 is: 428,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,076 : 198,642 = 198,642 : x
  2. Step 2: Convert to fraction form
    92,076/198,642 = 198,642/x
  3. Step 3: Cross multiply
    92,076x = 198,642 × 198,642
  4. Step 4: Simplify right side
    92,076x = 39,458,644,164
  5. Step 5: Solve for x
    x = 39,458,644,164/92,076
  6. Step 6: Final answer
    x = 428,544.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.