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Finding the Third Proportional to 127,003.50 and 273,123

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Solution

The third proportional to 127,003.50 and 273,123 is: 587,355.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,003.50 : 273,123 = 273,123 : x
  2. Step 2: Convert to fraction form
    127,003.50/273,123 = 273,123/x
  3. Step 3: Cross multiply
    127,003.50x = 273,123 × 273,123
  4. Step 4: Simplify right side
    127,003.50x = 74,596,173,129
  5. Step 5: Solve for x
    x = 74,596,173,129/127,003.50
  6. Step 6: Final answer
    x = 587,355.26

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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.