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Finding the Third Proportional to 121,524 and 181,790

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Solution

The third proportional to 121,524 and 181,790 is: 271,943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,524 : 181,790 = 181,790 : x
  2. Step 2: Convert to fraction form
    121,524/181,790 = 181,790/x
  3. Step 3: Cross multiply
    121,524x = 181,790 × 181,790
  4. Step 4: Simplify right side
    121,524x = 33,047,604,100
  5. Step 5: Solve for x
    x = 33,047,604,100/121,524
  6. Step 6: Final answer
    x = 271,943.02

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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.