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Finding the Third Proportional to 64,427.50 and 90,728

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Solution

The third proportional to 64,427.50 and 90,728 is: 127,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,427.50 : 90,728 = 90,728 : x
  2. Step 2: Convert to fraction form
    64,427.50/90,728 = 90,728/x
  3. Step 3: Cross multiply
    64,427.50x = 90,728 × 90,728
  4. Step 4: Simplify right side
    64,427.50x = 8,231,569,984
  5. Step 5: Solve for x
    x = 8,231,569,984/64,427.50
  6. Step 6: Final answer
    x = 127,764.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.