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Finding the Third Proportional to 127,476 and 196,704

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Solution

The third proportional to 127,476 and 196,704 is: 303,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,476 : 196,704 = 196,704 : x
  2. Step 2: Convert to fraction form
    127,476/196,704 = 196,704/x
  3. Step 3: Cross multiply
    127,476x = 196,704 × 196,704
  4. Step 4: Simplify right side
    127,476x = 38,692,463,616
  5. Step 5: Solve for x
    x = 38,692,463,616/127,476
  6. Step 6: Final answer
    x = 303,527.44

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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.