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Finding the Third Proportional to 61,627.50 and 131,200.59

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Solution

The third proportional to 61,627.50 and 131,200.59 is: 279,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,627.50 : 131,200.59 = 131,200.59 : x
  2. Step 2: Convert to fraction form
    61,627.50/131,200.59 = 131,200.59/x
  3. Step 3: Cross multiply
    61,627.50x = 131,200.59 × 131,200.59
  4. Step 4: Simplify right side
    61,627.50x = 17,213,595,800.35
  5. Step 5: Solve for x
    x = 17,213,595,800.35/61,627.50
  6. Step 6: Final answer
    x = 279,316.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.