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Finding the Third Proportional to 72,957 and 159,756

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Solution

The third proportional to 72,957 and 159,756 is: 349,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,957 : 159,756 = 159,756 : x
  2. Step 2: Convert to fraction form
    72,957/159,756 = 159,756/x
  3. Step 3: Cross multiply
    72,957x = 159,756 × 159,756
  4. Step 4: Simplify right side
    72,957x = 25,521,979,536
  5. Step 5: Solve for x
    x = 25,521,979,536/72,957
  6. Step 6: Final answer
    x = 349,822.22

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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.