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Finding the Third Proportional to 84,712 and 184,014

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Solution

The third proportional to 84,712 and 184,014 is: 399,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,712 : 184,014 = 184,014 : x
  2. Step 2: Convert to fraction form
    84,712/184,014 = 184,014/x
  3. Step 3: Cross multiply
    84,712x = 184,014 × 184,014
  4. Step 4: Simplify right side
    84,712x = 33,861,152,196
  5. Step 5: Solve for x
    x = 33,861,152,196/84,712
  6. Step 6: Final answer
    x = 399,720.84

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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.