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Finding the Third Proportional to 74,727 and 161,664.50

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Solution

The third proportional to 74,727 and 161,664.50 is: 349,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,727 : 161,664.50 = 161,664.50 : x
  2. Step 2: Convert to fraction form
    74,727/161,664.50 = 161,664.50/x
  3. Step 3: Cross multiply
    74,727x = 161,664.50 × 161,664.50
  4. Step 4: Simplify right side
    74,727x = 26,135,410,560.25
  5. Step 5: Solve for x
    x = 26,135,410,560.25/74,727
  6. Step 6: Final answer
    x = 349,745.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.