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Finding the Third Proportional to 57,049 and 85,750.50

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Solution

The third proportional to 57,049 and 85,750.50 is: 128,891.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,049 : 85,750.50 = 85,750.50 : x
  2. Step 2: Convert to fraction form
    57,049/85,750.50 = 85,750.50/x
  3. Step 3: Cross multiply
    57,049x = 85,750.50 × 85,750.50
  4. Step 4: Simplify right side
    57,049x = 7,353,148,250.25
  5. Step 5: Solve for x
    x = 7,353,148,250.25/57,049
  6. Step 6: Final answer
    x = 128,891.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.