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Finding the Third Proportional to 127,544.50 and 278,054

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Solution

The third proportional to 127,544.50 and 278,054 is: 606,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,544.50 : 278,054 = 278,054 : x
  2. Step 2: Convert to fraction form
    127,544.50/278,054 = 278,054/x
  3. Step 3: Cross multiply
    127,544.50x = 278,054 × 278,054
  4. Step 4: Simplify right side
    127,544.50x = 77,314,026,916
  5. Step 5: Solve for x
    x = 77,314,026,916/127,544.50
  6. Step 6: Final answer
    x = 606,172.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.