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Finding the Third Proportional to 73,674 and 112,625.50

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Solution

The third proportional to 73,674 and 112,625.50 is: 172,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,674 : 112,625.50 = 112,625.50 : x
  2. Step 2: Convert to fraction form
    73,674/112,625.50 = 112,625.50/x
  3. Step 3: Cross multiply
    73,674x = 112,625.50 × 112,625.50
  4. Step 4: Simplify right side
    73,674x = 12,684,503,250.25
  5. Step 5: Solve for x
    x = 12,684,503,250.25/73,674
  6. Step 6: Final answer
    x = 172,170.69

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