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Finding the Third Proportional to 72,494 and 112,041

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Solution

The third proportional to 72,494 and 112,041 is: 173,161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,494 : 112,041 = 112,041 : x
  2. Step 2: Convert to fraction form
    72,494/112,041 = 112,041/x
  3. Step 3: Cross multiply
    72,494x = 112,041 × 112,041
  4. Step 4: Simplify right side
    72,494x = 12,553,185,681
  5. Step 5: Solve for x
    x = 12,553,185,681/72,494
  6. Step 6: Final answer
    x = 173,161.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.