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Finding the Third Proportional to 39,050 and 85,168

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Solution

The third proportional to 39,050 and 85,168 is: 185,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,050 : 85,168 = 85,168 : x
  2. Step 2: Convert to fraction form
    39,050/85,168 = 85,168/x
  3. Step 3: Cross multiply
    39,050x = 85,168 × 85,168
  4. Step 4: Simplify right side
    39,050x = 7,253,588,224
  5. Step 5: Solve for x
    x = 7,253,588,224/39,050
  6. Step 6: Final answer
    x = 185,751.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.