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Finding the Third Proportional to 74,765.25 and 106,639.88

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Solution

The third proportional to 74,765.25 and 106,639.88 is: 152,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,765.25 : 106,639.88 = 106,639.88 : x
  2. Step 2: Convert to fraction form
    74,765.25/106,639.88 = 106,639.88/x
  3. Step 3: Cross multiply
    74,765.25x = 106,639.88 × 106,639.88
  4. Step 4: Simplify right side
    74,765.25x = 11,372,062,940.02
  5. Step 5: Solve for x
    x = 11,372,062,940.02/74,765.25
  6. Step 6: Final answer
    x = 152,103.59

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.