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Finding the Third Proportional to 39,456 and 85,224

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Solution

The third proportional to 39,456 and 85,224 is: 184,081.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,456 : 85,224 = 85,224 : x
  2. Step 2: Convert to fraction form
    39,456/85,224 = 85,224/x
  3. Step 3: Cross multiply
    39,456x = 85,224 × 85,224
  4. Step 4: Simplify right side
    39,456x = 7,263,130,176
  5. Step 5: Solve for x
    x = 7,263,130,176/39,456
  6. Step 6: Final answer
    x = 184,081.77

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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.