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Finding the Third Proportional to 114,387 and 173,524.50

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Solution

The third proportional to 114,387 and 173,524.50 is: 263,235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,387 : 173,524.50 = 173,524.50 : x
  2. Step 2: Convert to fraction form
    114,387/173,524.50 = 173,524.50/x
  3. Step 3: Cross multiply
    114,387x = 173,524.50 × 173,524.50
  4. Step 4: Simplify right side
    114,387x = 30,110,752,100.25
  5. Step 5: Solve for x
    x = 30,110,752,100.25/114,387
  6. Step 6: Final answer
    x = 263,235.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.