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Finding the Third Proportional to 72,219.09 and 161,034.33

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Solution

The third proportional to 72,219.09 and 161,034.33 is: 359,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,219.09 : 161,034.33 = 161,034.33 : x
  2. Step 2: Convert to fraction form
    72,219.09/161,034.33 = 161,034.33/x
  3. Step 3: Cross multiply
    72,219.09x = 161,034.33 × 161,034.33
  4. Step 4: Simplify right side
    72,219.09x = 25,932,054,834.67
  5. Step 5: Solve for x
    x = 25,932,054,834.67/72,219.09
  6. Step 6: Final answer
    x = 359,074.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.