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Finding the Third Proportional to 121,588 and 181,896

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Solution

The third proportional to 121,588 and 181,896 is: 272,116.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,588 : 181,896 = 181,896 : x
  2. Step 2: Convert to fraction form
    121,588/181,896 = 181,896/x
  3. Step 3: Cross multiply
    121,588x = 181,896 × 181,896
  4. Step 4: Simplify right side
    121,588x = 33,086,154,816
  5. Step 5: Solve for x
    x = 33,086,154,816/121,588
  6. Step 6: Final answer
    x = 272,116.94

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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.