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Finding the Third Proportional to 121,586 and 181,892

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Solution

The third proportional to 121,586 and 181,892 is: 272,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,586 : 181,892 = 181,892 : x
  2. Step 2: Convert to fraction form
    121,586/181,892 = 181,892/x
  3. Step 3: Cross multiply
    121,586x = 181,892 × 181,892
  4. Step 4: Simplify right side
    121,586x = 33,084,699,664
  5. Step 5: Solve for x
    x = 33,084,699,664/121,586
  6. Step 6: Final answer
    x = 272,109.45

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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.