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Finding the Third Proportional to 127,100.25 and 273,901.50

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Solution

The third proportional to 127,100.25 and 273,901.50 is: 590,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,100.25 : 273,901.50 = 273,901.50 : x
  2. Step 2: Convert to fraction form
    127,100.25/273,901.50 = 273,901.50/x
  3. Step 3: Cross multiply
    127,100.25x = 273,901.50 × 273,901.50
  4. Step 4: Simplify right side
    127,100.25x = 75,022,031,702.25
  5. Step 5: Solve for x
    x = 75,022,031,702.25/127,100.25
  6. Step 6: Final answer
    x = 590,258.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.