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Finding the Third Proportional to 127,462 and 202,442

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Solution

The third proportional to 127,462 and 202,442 is: 321,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,462 : 202,442 = 202,442 : x
  2. Step 2: Convert to fraction form
    127,462/202,442 = 202,442/x
  3. Step 3: Cross multiply
    127,462x = 202,442 × 202,442
  4. Step 4: Simplify right side
    127,462x = 40,982,763,364
  5. Step 5: Solve for x
    x = 40,982,763,364/127,462
  6. Step 6: Final answer
    x = 321,529.27

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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.