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Finding the Third Proportional to 72,923.06 and 109,385.44

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Solution

The third proportional to 72,923.06 and 109,385.44 is: 164,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,923.06 : 109,385.44 = 109,385.44 : x
  2. Step 2: Convert to fraction form
    72,923.06/109,385.44 = 109,385.44/x
  3. Step 3: Cross multiply
    72,923.06x = 109,385.44 × 109,385.44
  4. Step 4: Simplify right side
    72,923.06x = 11,965,173,937.07
  5. Step 5: Solve for x
    x = 11,965,173,937.07/72,923.06
  6. Step 6: Final answer
    x = 164,079.42

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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.