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Finding the Third Proportional to 60,203 and 131,824.50

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Solution

The third proportional to 60,203 and 131,824.50 is: 288,651.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,203 : 131,824.50 = 131,824.50 : x
  2. Step 2: Convert to fraction form
    60,203/131,824.50 = 131,824.50/x
  3. Step 3: Cross multiply
    60,203x = 131,824.50 × 131,824.50
  4. Step 4: Simplify right side
    60,203x = 17,377,698,800.25
  5. Step 5: Solve for x
    x = 17,377,698,800.25/60,203
  6. Step 6: Final answer
    x = 288,651.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.