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Finding the Third Proportional to 53,164.50 and 72,234

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Solution

The third proportional to 53,164.50 and 72,234 is: 98,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,164.50 : 72,234 = 72,234 : x
  2. Step 2: Convert to fraction form
    53,164.50/72,234 = 72,234/x
  3. Step 3: Cross multiply
    53,164.50x = 72,234 × 72,234
  4. Step 4: Simplify right side
    53,164.50x = 5,217,750,756
  5. Step 5: Solve for x
    x = 5,217,750,756/53,164.50
  6. Step 6: Final answer
    x = 98,143.51

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.