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Finding the Third Proportional to 32,137.50 and 67,299

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Solution

The third proportional to 32,137.50 and 67,299 is: 140,930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,137.50 : 67,299 = 67,299 : x
  2. Step 2: Convert to fraction form
    32,137.50/67,299 = 67,299/x
  3. Step 3: Cross multiply
    32,137.50x = 67,299 × 67,299
  4. Step 4: Simplify right side
    32,137.50x = 4,529,155,401
  5. Step 5: Solve for x
    x = 4,529,155,401/32,137.50
  6. Step 6: Final answer
    x = 140,930.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.