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Finding the Third Proportional to 122,715 and 265,923

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Solution

The third proportional to 122,715 and 265,923 is: 576,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,715 : 265,923 = 265,923 : x
  2. Step 2: Convert to fraction form
    122,715/265,923 = 265,923/x
  3. Step 3: Cross multiply
    122,715x = 265,923 × 265,923
  4. Step 4: Simplify right side
    122,715x = 70,715,041,929
  5. Step 5: Solve for x
    x = 70,715,041,929/122,715
  6. Step 6: Final answer
    x = 576,254.26

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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.