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Finding the Third Proportional to 127,704 and 202,112

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Solution

The third proportional to 127,704 and 202,112 is: 319,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,704 : 202,112 = 202,112 : x
  2. Step 2: Convert to fraction form
    127,704/202,112 = 202,112/x
  3. Step 3: Cross multiply
    127,704x = 202,112 × 202,112
  4. Step 4: Simplify right side
    127,704x = 40,849,260,544
  5. Step 5: Solve for x
    x = 40,849,260,544/127,704
  6. Step 6: Final answer
    x = 319,874.56

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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.