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Finding the Third Proportional to 69,459 and 103,729.50

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Solution

The third proportional to 69,459 and 103,729.50 is: 154,908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,459 : 103,729.50 = 103,729.50 : x
  2. Step 2: Convert to fraction form
    69,459/103,729.50 = 103,729.50/x
  3. Step 3: Cross multiply
    69,459x = 103,729.50 × 103,729.50
  4. Step 4: Simplify right side
    69,459x = 10,759,809,170.25
  5. Step 5: Solve for x
    x = 10,759,809,170.25/69,459
  6. Step 6: Final answer
    x = 154,908.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.