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Finding the Third Proportional to 72,408 and 110,766

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Solution

The third proportional to 72,408 and 110,766 is: 169,444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,408 : 110,766 = 110,766 : x
  2. Step 2: Convert to fraction form
    72,408/110,766 = 110,766/x
  3. Step 3: Cross multiply
    72,408x = 110,766 × 110,766
  4. Step 4: Simplify right side
    72,408x = 12,269,106,756
  5. Step 5: Solve for x
    x = 12,269,106,756/72,408
  6. Step 6: Final answer
    x = 169,444.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.