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Finding the Third Proportional to 82,154 and 117,399

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Solution

The third proportional to 82,154 and 117,399 is: 167,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,154 : 117,399 = 117,399 : x
  2. Step 2: Convert to fraction form
    82,154/117,399 = 117,399/x
  3. Step 3: Cross multiply
    82,154x = 117,399 × 117,399
  4. Step 4: Simplify right side
    82,154x = 13,782,525,201
  5. Step 5: Solve for x
    x = 13,782,525,201/82,154
  6. Step 6: Final answer
    x = 167,764.51

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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.