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Finding the Third Proportional to 69,741.75 and 101,372.63

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Solution

The third proportional to 69,741.75 and 101,372.63 is: 147,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,741.75 : 101,372.63 = 101,372.63 : x
  2. Step 2: Convert to fraction form
    69,741.75/101,372.63 = 101,372.63/x
  3. Step 3: Cross multiply
    69,741.75x = 101,372.63 × 101,372.63
  4. Step 4: Simplify right side
    69,741.75x = 10,276,409,099.39
  5. Step 5: Solve for x
    x = 10,276,409,099.39/69,741.75
  6. Step 6: Final answer
    x = 147,349.46

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.