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Finding the Third Proportional to 39,453 and 85,710

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Solution

The third proportional to 39,453 and 85,710 is: 186,201.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,453 : 85,710 = 85,710 : x
  2. Step 2: Convert to fraction form
    39,453/85,710 = 85,710/x
  3. Step 3: Cross multiply
    39,453x = 85,710 × 85,710
  4. Step 4: Simplify right side
    39,453x = 7,346,204,100
  5. Step 5: Solve for x
    x = 7,346,204,100/39,453
  6. Step 6: Final answer
    x = 186,201.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.