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Finding the Third Proportional to 121,526 and 181,882

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Solution

The third proportional to 121,526 and 181,882 is: 272,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,526 : 181,882 = 181,882 : x
  2. Step 2: Convert to fraction form
    121,526/181,882 = 181,882/x
  3. Step 3: Cross multiply
    121,526x = 181,882 × 181,882
  4. Step 4: Simplify right side
    121,526x = 33,081,061,924
  5. Step 5: Solve for x
    x = 33,081,061,924/121,526
  6. Step 6: Final answer
    x = 272,213.86

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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.