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Finding the Third Proportional to 64,544 and 92,962

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Solution

The third proportional to 64,544 and 92,962 is: 133,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,544 : 92,962 = 92,962 : x
  2. Step 2: Convert to fraction form
    64,544/92,962 = 92,962/x
  3. Step 3: Cross multiply
    64,544x = 92,962 × 92,962
  4. Step 4: Simplify right side
    64,544x = 8,641,933,444
  5. Step 5: Solve for x
    x = 8,641,933,444/64,544
  6. Step 6: Final answer
    x = 133,892.13

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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.