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Finding the Third Proportional to 121,504 and 176,296

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Solution

The third proportional to 121,504 and 176,296 is: 255,796.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,504 : 176,296 = 176,296 : x
  2. Step 2: Convert to fraction form
    121,504/176,296 = 176,296/x
  3. Step 3: Cross multiply
    121,504x = 176,296 × 176,296
  4. Step 4: Simplify right side
    121,504x = 31,080,279,616
  5. Step 5: Solve for x
    x = 31,080,279,616/121,504
  6. Step 6: Final answer
    x = 255,796.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.