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Finding the Third Proportional to 65,644 and 92,892

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Solution

The third proportional to 65,644 and 92,892 is: 131,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,644 : 92,892 = 92,892 : x
  2. Step 2: Convert to fraction form
    65,644/92,892 = 92,892/x
  3. Step 3: Cross multiply
    65,644x = 92,892 × 92,892
  4. Step 4: Simplify right side
    65,644x = 8,628,923,664
  5. Step 5: Solve for x
    x = 8,628,923,664/65,644
  6. Step 6: Final answer
    x = 131,450.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.