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Finding the Third Proportional to 74,905.75 and 160,473.13

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Solution

The third proportional to 74,905.75 and 160,473.13 is: 343,787.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,905.75 : 160,473.13 = 160,473.13 : x
  2. Step 2: Convert to fraction form
    74,905.75/160,473.13 = 160,473.13/x
  3. Step 3: Cross multiply
    74,905.75x = 160,473.13 × 160,473.13
  4. Step 4: Simplify right side
    74,905.75x = 25,751,623,847.27
  5. Step 5: Solve for x
    x = 25,751,623,847.27/74,905.75
  6. Step 6: Final answer
    x = 343,787.01

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.