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Finding the Third Proportional to 73,232 and 159,892

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Solution

The third proportional to 73,232 and 159,892 is: 349,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,232 : 159,892 = 159,892 : x
  2. Step 2: Convert to fraction form
    73,232/159,892 = 159,892/x
  3. Step 3: Cross multiply
    73,232x = 159,892 × 159,892
  4. Step 4: Simplify right side
    73,232x = 25,565,451,664
  5. Step 5: Solve for x
    x = 25,565,451,664/73,232
  6. Step 6: Final answer
    x = 349,102.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.