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Finding the Third Proportional to 69,500 and 151,746

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Solution

The third proportional to 69,500 and 151,746 is: 331,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,500 : 151,746 = 151,746 : x
  2. Step 2: Convert to fraction form
    69,500/151,746 = 151,746/x
  3. Step 3: Cross multiply
    69,500x = 151,746 × 151,746
  4. Step 4: Simplify right side
    69,500x = 23,026,848,516
  5. Step 5: Solve for x
    x = 23,026,848,516/69,500
  6. Step 6: Final answer
    x = 331,321.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.