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Finding the Third Proportional to 127,516 and 196,760

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Solution

The third proportional to 127,516 and 196,760 is: 303,605.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,516 : 196,760 = 196,760 : x
  2. Step 2: Convert to fraction form
    127,516/196,760 = 196,760/x
  3. Step 3: Cross multiply
    127,516x = 196,760 × 196,760
  4. Step 4: Simplify right side
    127,516x = 38,714,497,600
  5. Step 5: Solve for x
    x = 38,714,497,600/127,516
  6. Step 6: Final answer
    x = 303,605.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.