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Finding the Third Proportional to 127,513 and 196,755

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Solution

The third proportional to 127,513 and 196,755 is: 303,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,513 : 196,755 = 196,755 : x
  2. Step 2: Convert to fraction form
    127,513/196,755 = 196,755/x
  3. Step 3: Cross multiply
    127,513x = 196,755 × 196,755
  4. Step 4: Simplify right side
    127,513x = 38,712,530,025
  5. Step 5: Solve for x
    x = 38,712,530,025/127,513
  6. Step 6: Final answer
    x = 303,596.73

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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.