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Finding the Third Proportional to 64,494.75 and 92,896.50

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Solution

The third proportional to 64,494.75 and 92,896.50 is: 133,805.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,494.75 : 92,896.50 = 92,896.50 : x
  2. Step 2: Convert to fraction form
    64,494.75/92,896.50 = 92,896.50/x
  3. Step 3: Cross multiply
    64,494.75x = 92,896.50 × 92,896.50
  4. Step 4: Simplify right side
    64,494.75x = 8,629,759,712.25
  5. Step 5: Solve for x
    x = 8,629,759,712.25/64,494.75
  6. Step 6: Final answer
    x = 133,805.62

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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.