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Finding the Third Proportional to 121,596 and 181,908

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Solution

The third proportional to 121,596 and 181,908 is: 272,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,596 : 181,908 = 181,908 : x
  2. Step 2: Convert to fraction form
    121,596/181,908 = 181,908/x
  3. Step 3: Cross multiply
    121,596x = 181,908 × 181,908
  4. Step 4: Simplify right side
    121,596x = 33,090,520,464
  5. Step 5: Solve for x
    x = 33,090,520,464/121,596
  6. Step 6: Final answer
    x = 272,134.94

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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.