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Finding the Third Proportional to 127,698 and 202,104

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Solution

The third proportional to 127,698 and 202,104 is: 319,864.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,698 : 202,104 = 202,104 : x
  2. Step 2: Convert to fraction form
    127,698/202,104 = 202,104/x
  3. Step 3: Cross multiply
    127,698x = 202,104 × 202,104
  4. Step 4: Simplify right side
    127,698x = 40,846,026,816
  5. Step 5: Solve for x
    x = 40,846,026,816/127,698
  6. Step 6: Final answer
    x = 319,864.26

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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.