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Finding the Third Proportional to 104,462 and 156,923

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Solution

The third proportional to 104,462 and 156,923 is: 235,730.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,462 : 156,923 = 156,923 : x
  2. Step 2: Convert to fraction form
    104,462/156,923 = 156,923/x
  3. Step 3: Cross multiply
    104,462x = 156,923 × 156,923
  4. Step 4: Simplify right side
    104,462x = 24,624,827,929
  5. Step 5: Solve for x
    x = 24,624,827,929/104,462
  6. Step 6: Final answer
    x = 235,730.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.