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Finding the Third Proportional to 127,696 and 202,101

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Solution

The third proportional to 127,696 and 202,101 is: 319,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,696 : 202,101 = 202,101 : x
  2. Step 2: Convert to fraction form
    127,696/202,101 = 202,101/x
  3. Step 3: Cross multiply
    127,696x = 202,101 × 202,101
  4. Step 4: Simplify right side
    127,696x = 40,844,814,201
  5. Step 5: Solve for x
    x = 40,844,814,201/127,696
  6. Step 6: Final answer
    x = 319,859.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.