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Finding the Third Proportional to 82,028 and 117,299

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Solution

The third proportional to 82,028 and 117,299 is: 167,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,028 : 117,299 = 117,299 : x
  2. Step 2: Convert to fraction form
    82,028/117,299 = 117,299/x
  3. Step 3: Cross multiply
    82,028x = 117,299 × 117,299
  4. Step 4: Simplify right side
    82,028x = 13,759,055,401
  5. Step 5: Solve for x
    x = 13,759,055,401/82,028
  6. Step 6: Final answer
    x = 167,736.08

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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.