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Finding the Third Proportional to 69,261 and 105,349.50

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Solution

The third proportional to 69,261 and 105,349.50 is: 160,241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,261 : 105,349.50 = 105,349.50 : x
  2. Step 2: Convert to fraction form
    69,261/105,349.50 = 105,349.50/x
  3. Step 3: Cross multiply
    69,261x = 105,349.50 × 105,349.50
  4. Step 4: Simplify right side
    69,261x = 11,098,517,150.25
  5. Step 5: Solve for x
    x = 11,098,517,150.25/69,261
  6. Step 6: Final answer
    x = 160,241.94

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.