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Finding the Third Proportional to 121,359.25 and 182,039

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Solution

The third proportional to 121,359.25 and 182,039 is: 273,058.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,359.25 : 182,039 = 182,039 : x
  2. Step 2: Convert to fraction form
    121,359.25/182,039 = 182,039/x
  3. Step 3: Cross multiply
    121,359.25x = 182,039 × 182,039
  4. Step 4: Simplify right side
    121,359.25x = 33,138,197,521
  5. Step 5: Solve for x
    x = 33,138,197,521/121,359.25
  6. Step 6: Final answer
    x = 273,058.69

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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.