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Finding the Third Proportional to 114,524.50 and 173,042

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Solution

The third proportional to 114,524.50 and 173,042 is: 261,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,524.50 : 173,042 = 173,042 : x
  2. Step 2: Convert to fraction form
    114,524.50/173,042 = 173,042/x
  3. Step 3: Cross multiply
    114,524.50x = 173,042 × 173,042
  4. Step 4: Simplify right side
    114,524.50x = 29,943,533,764
  5. Step 5: Solve for x
    x = 29,943,533,764/114,524.50
  6. Step 6: Final answer
    x = 261,459.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.