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Finding the Third Proportional to 127,093.50 and 264,713.63

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Solution

The third proportional to 127,093.50 and 264,713.63 is: 551,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,093.50 : 264,713.63 = 264,713.63 : x
  2. Step 2: Convert to fraction form
    127,093.50/264,713.63 = 264,713.63/x
  3. Step 3: Cross multiply
    127,093.50x = 264,713.63 × 264,713.63
  4. Step 4: Simplify right side
    127,093.50x = 70,073,303,260.64
  5. Step 5: Solve for x
    x = 70,073,303,260.64/127,093.50
  6. Step 6: Final answer
    x = 551,352.38

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Why These Related Problems?

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