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Finding the Third Proportional to 64,797 and 101,427.75

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Solution

The third proportional to 64,797 and 101,427.75 is: 158,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,797 : 101,427.75 = 101,427.75 : x
  2. Step 2: Convert to fraction form
    64,797/101,427.75 = 101,427.75/x
  3. Step 3: Cross multiply
    64,797x = 101,427.75 × 101,427.75
  4. Step 4: Simplify right side
    64,797x = 10,287,588,470.06
  5. Step 5: Solve for x
    x = 10,287,588,470.06/64,797
  6. Step 6: Final answer
    x = 158,766.43

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.