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Finding the Third Proportional to 122,724 and 265,941

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Solution

The third proportional to 122,724 and 265,941 is: 576,290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,724 : 265,941 = 265,941 : x
  2. Step 2: Convert to fraction form
    122,724/265,941 = 265,941/x
  3. Step 3: Cross multiply
    122,724x = 265,941 × 265,941
  4. Step 4: Simplify right side
    122,724x = 70,724,615,481
  5. Step 5: Solve for x
    x = 70,724,615,481/122,724
  6. Step 6: Final answer
    x = 576,290.01

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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.