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Finding the Third Proportional to 122,126 and 265,759

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Solution

The third proportional to 122,126 and 265,759 is: 578,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,126 : 265,759 = 265,759 : x
  2. Step 2: Convert to fraction form
    122,126/265,759 = 265,759/x
  3. Step 3: Cross multiply
    122,126x = 265,759 × 265,759
  4. Step 4: Simplify right side
    122,126x = 70,627,846,081
  5. Step 5: Solve for x
    x = 70,627,846,081/122,126
  6. Step 6: Final answer
    x = 578,319.49

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Why These Related Problems?

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