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Finding the Third Proportional to 127,201.50 and 186,914.25

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Solution

The third proportional to 127,201.50 and 186,914.25 is: 274,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,201.50 : 186,914.25 = 186,914.25 : x
  2. Step 2: Convert to fraction form
    127,201.50/186,914.25 = 186,914.25/x
  3. Step 3: Cross multiply
    127,201.50x = 186,914.25 × 186,914.25
  4. Step 4: Simplify right side
    127,201.50x = 34,936,936,853.06
  5. Step 5: Solve for x
    x = 34,936,936,853.06/127,201.50
  6. Step 6: Final answer
    x = 274,658.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.