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Finding the Third Proportional to 127,120.50 and 273,700

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Solution

The third proportional to 127,120.50 and 273,700 is: 589,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,120.50 : 273,700 = 273,700 : x
  2. Step 2: Convert to fraction form
    127,120.50/273,700 = 273,700/x
  3. Step 3: Cross multiply
    127,120.50x = 273,700 × 273,700
  4. Step 4: Simplify right side
    127,120.50x = 74,911,690,000
  5. Step 5: Solve for x
    x = 74,911,690,000/127,120.50
  6. Step 6: Final answer
    x = 589,296.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.