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Finding the Third Proportional to 127,966 and 167,316

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Solution

The third proportional to 127,966 and 167,316 is: 218,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,966 : 167,316 = 167,316 : x
  2. Step 2: Convert to fraction form
    127,966/167,316 = 167,316/x
  3. Step 3: Cross multiply
    127,966x = 167,316 × 167,316
  4. Step 4: Simplify right side
    127,966x = 27,994,643,856
  5. Step 5: Solve for x
    x = 27,994,643,856/127,966
  6. Step 6: Final answer
    x = 218,766.26

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.