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Finding the Third Proportional to 121,590 and 181,899

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Solution

The third proportional to 121,590 and 181,899 is: 272,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,590 : 181,899 = 181,899 : x
  2. Step 2: Convert to fraction form
    121,590/181,899 = 181,899/x
  3. Step 3: Cross multiply
    121,590x = 181,899 × 181,899
  4. Step 4: Simplify right side
    121,590x = 33,087,246,201
  5. Step 5: Solve for x
    x = 33,087,246,201/121,590
  6. Step 6: Final answer
    x = 272,121.44

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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.