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Finding the Third Proportional to 72,933 and 159,363

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Solution

The third proportional to 72,933 and 159,363 is: 348,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,933 : 159,363 = 159,363 : x
  2. Step 2: Convert to fraction form
    72,933/159,363 = 159,363/x
  3. Step 3: Cross multiply
    72,933x = 159,363 × 159,363
  4. Step 4: Simplify right side
    72,933x = 25,396,565,769
  5. Step 5: Solve for x
    x = 25,396,565,769/72,933
  6. Step 6: Final answer
    x = 348,217.76

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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.