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Finding the Third Proportional to 120,749.06 and 262,239.19

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Solution

The third proportional to 120,749.06 and 262,239.19 is: 569,523.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,749.06 : 262,239.19 = 262,239.19 : x
  2. Step 2: Convert to fraction form
    120,749.06/262,239.19 = 262,239.19/x
  3. Step 3: Cross multiply
    120,749.06x = 262,239.19 × 262,239.19
  4. Step 4: Simplify right side
    120,749.06x = 68,769,391,460.66
  5. Step 5: Solve for x
    x = 68,769,391,460.66/120,749.06
  6. Step 6: Final answer
    x = 569,523.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.