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Finding the Third Proportional to 39,491 and 85,303

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Solution

The third proportional to 39,491 and 85,303 is: 184,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,491 : 85,303 = 85,303 : x
  2. Step 2: Convert to fraction form
    39,491/85,303 = 85,303/x
  3. Step 3: Cross multiply
    39,491x = 85,303 × 85,303
  4. Step 4: Simplify right side
    39,491x = 7,276,601,809
  5. Step 5: Solve for x
    x = 7,276,601,809/39,491
  6. Step 6: Final answer
    x = 184,259.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.