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Finding the Third Proportional to 73,954.50 and 161,979

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Solution

The third proportional to 73,954.50 and 161,979 is: 354,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,954.50 : 161,979 = 161,979 : x
  2. Step 2: Convert to fraction form
    73,954.50/161,979 = 161,979/x
  3. Step 3: Cross multiply
    73,954.50x = 161,979 × 161,979
  4. Step 4: Simplify right side
    73,954.50x = 26,237,196,441
  5. Step 5: Solve for x
    x = 26,237,196,441/73,954.50
  6. Step 6: Final answer
    x = 354,774.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.