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Finding the Third Proportional to 127,704 and 202,116

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Solution

The third proportional to 127,704 and 202,116 is: 319,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,704 : 202,116 = 202,116 : x
  2. Step 2: Convert to fraction form
    127,704/202,116 = 202,116/x
  3. Step 3: Cross multiply
    127,704x = 202,116 × 202,116
  4. Step 4: Simplify right side
    127,704x = 40,850,877,456
  5. Step 5: Solve for x
    x = 40,850,877,456/127,704
  6. Step 6: Final answer
    x = 319,887.22

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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.