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Finding the Third Proportional to 40,304 and 90,735

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Solution

The third proportional to 40,304 and 90,735 is: 204,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,304 : 90,735 = 90,735 : x
  2. Step 2: Convert to fraction form
    40,304/90,735 = 90,735/x
  3. Step 3: Cross multiply
    40,304x = 90,735 × 90,735
  4. Step 4: Simplify right side
    40,304x = 8,232,840,225
  5. Step 5: Solve for x
    x = 8,232,840,225/40,304
  6. Step 6: Final answer
    x = 204,268.56

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.