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Finding the Third Proportional to 127,214 and 202,059

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Solution

The third proportional to 127,214 and 202,059 is: 320,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,214 : 202,059 = 202,059 : x
  2. Step 2: Convert to fraction form
    127,214/202,059 = 202,059/x
  3. Step 3: Cross multiply
    127,214x = 202,059 × 202,059
  4. Step 4: Simplify right side
    127,214x = 40,827,839,481
  5. Step 5: Solve for x
    x = 40,827,839,481/127,214
  6. Step 6: Final answer
    x = 320,938.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.