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Finding the Third Proportional to 127,178.75 and 196,743.50

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Solution

The third proportional to 127,178.75 and 196,743.50 is: 304,359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,178.75 : 196,743.50 = 196,743.50 : x
  2. Step 2: Convert to fraction form
    127,178.75/196,743.50 = 196,743.50/x
  3. Step 3: Cross multiply
    127,178.75x = 196,743.50 × 196,743.50
  4. Step 4: Simplify right side
    127,178.75x = 38,708,004,792.25
  5. Step 5: Solve for x
    x = 38,708,004,792.25/127,178.75
  6. Step 6: Final answer
    x = 304,359.06

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