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Finding the Third Proportional to 127,167.75 and 196,597.13

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Solution

The third proportional to 127,167.75 and 196,597.13 is: 303,932.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,167.75 : 196,597.13 = 196,597.13 : x
  2. Step 2: Convert to fraction form
    127,167.75/196,597.13 = 196,597.13/x
  3. Step 3: Cross multiply
    127,167.75x = 196,597.13 × 196,597.13
  4. Step 4: Simplify right side
    127,167.75x = 38,650,429,558.27
  5. Step 5: Solve for x
    x = 38,650,429,558.27/127,167.75
  6. Step 6: Final answer
    x = 303,932.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.