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Finding the Third Proportional to 72,929 and 150,913

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Solution

The third proportional to 72,929 and 150,913 is: 312,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,929 : 150,913 = 150,913 : x
  2. Step 2: Convert to fraction form
    72,929/150,913 = 150,913/x
  3. Step 3: Cross multiply
    72,929x = 150,913 × 150,913
  4. Step 4: Simplify right side
    72,929x = 22,774,733,569
  5. Step 5: Solve for x
    x = 22,774,733,569/72,929
  6. Step 6: Final answer
    x = 312,286.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.