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Finding the Third Proportional to 82,029 and 117,301

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Solution

The third proportional to 82,029 and 117,301 is: 167,739.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,029 : 117,301 = 117,301 : x
  2. Step 2: Convert to fraction form
    82,029/117,301 = 117,301/x
  3. Step 3: Cross multiply
    82,029x = 117,301 × 117,301
  4. Step 4: Simplify right side
    82,029x = 13,759,524,601
  5. Step 5: Solve for x
    x = 13,759,524,601/82,029
  6. Step 6: Final answer
    x = 167,739.76

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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.