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Finding the Third Proportional to 127,970 and 167,322

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Solution

The third proportional to 127,970 and 167,322 is: 218,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,970 : 167,322 = 167,322 : x
  2. Step 2: Convert to fraction form
    127,970/167,322 = 167,322/x
  3. Step 3: Cross multiply
    127,970x = 167,322 × 167,322
  4. Step 4: Simplify right side
    127,970x = 27,996,651,684
  5. Step 5: Solve for x
    x = 27,996,651,684/127,970
  6. Step 6: Final answer
    x = 218,775.12

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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.