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Finding the Third Proportional to 127,159.88 and 196,585.31

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Solution

The third proportional to 127,159.88 and 196,585.31 is: 303,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,159.88 : 196,585.31 = 196,585.31 : x
  2. Step 2: Convert to fraction form
    127,159.88/196,585.31 = 196,585.31/x
  3. Step 3: Cross multiply
    127,159.88x = 196,585.31 × 196,585.31
  4. Step 4: Simplify right side
    127,159.88x = 38,645,785,090.72
  5. Step 5: Solve for x
    x = 38,645,785,090.72/127,159.88
  6. Step 6: Final answer
    x = 303,914.93

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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.