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Finding the Third Proportional to 82,027 and 117,298

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Solution

The third proportional to 82,027 and 117,298 is: 167,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,027 : 117,298 = 117,298 : x
  2. Step 2: Convert to fraction form
    82,027/117,298 = 117,298/x
  3. Step 3: Cross multiply
    82,027x = 117,298 × 117,298
  4. Step 4: Simplify right side
    82,027x = 13,758,820,804
  5. Step 5: Solve for x
    x = 13,758,820,804/82,027
  6. Step 6: Final answer
    x = 167,735.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.