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Finding the Third Proportional to 127,077.75 and 264,690

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Solution

The third proportional to 127,077.75 and 264,690 is: 551,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,077.75 : 264,690 = 264,690 : x
  2. Step 2: Convert to fraction form
    127,077.75/264,690 = 264,690/x
  3. Step 3: Cross multiply
    127,077.75x = 264,690 × 264,690
  4. Step 4: Simplify right side
    127,077.75x = 70,060,796,100
  5. Step 5: Solve for x
    x = 70,060,796,100/127,077.75
  6. Step 6: Final answer
    x = 551,322.29

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.