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Finding the Third Proportional to 73,965 and 161,754

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Solution

The third proportional to 73,965 and 161,754 is: 353,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,965 : 161,754 = 161,754 : x
  2. Step 2: Convert to fraction form
    73,965/161,754 = 161,754/x
  3. Step 3: Cross multiply
    73,965x = 161,754 × 161,754
  4. Step 4: Simplify right side
    73,965x = 26,164,356,516
  5. Step 5: Solve for x
    x = 26,164,356,516/73,965
  6. Step 6: Final answer
    x = 353,739.69

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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.