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Finding the Third Proportional to 82,071 and 117,351

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Solution

The third proportional to 82,071 and 117,351 is: 167,796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,071 : 117,351 = 117,351 : x
  2. Step 2: Convert to fraction form
    82,071/117,351 = 117,351/x
  3. Step 3: Cross multiply
    82,071x = 117,351 × 117,351
  4. Step 4: Simplify right side
    82,071x = 13,771,257,201
  5. Step 5: Solve for x
    x = 13,771,257,201/82,071
  6. Step 6: Final answer
    x = 167,796.87

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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.