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Finding the Third Proportional to 121,504 and 182,255

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Solution

The third proportional to 121,504 and 182,255 is: 273,381.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,504 : 182,255 = 182,255 : x
  2. Step 2: Convert to fraction form
    121,504/182,255 = 182,255/x
  3. Step 3: Cross multiply
    121,504x = 182,255 × 182,255
  4. Step 4: Simplify right side
    121,504x = 33,216,885,025
  5. Step 5: Solve for x
    x = 33,216,885,025/121,504
  6. Step 6: Final answer
    x = 273,381.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.