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Finding the Third Proportional to 82,055 and 117,331

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Solution

The third proportional to 82,055 and 117,331 is: 167,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,055 : 117,331 = 117,331 : x
  2. Step 2: Convert to fraction form
    82,055/117,331 = 117,331/x
  3. Step 3: Cross multiply
    82,055x = 117,331 × 117,331
  4. Step 4: Simplify right side
    82,055x = 13,766,563,561
  5. Step 5: Solve for x
    x = 13,766,563,561/82,055
  6. Step 6: Final answer
    x = 167,772.39

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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.