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Finding the Third Proportional to 84,721.50 and 181,077

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Solution

The third proportional to 84,721.50 and 181,077 is: 387,019.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,721.50 : 181,077 = 181,077 : x
  2. Step 2: Convert to fraction form
    84,721.50/181,077 = 181,077/x
  3. Step 3: Cross multiply
    84,721.50x = 181,077 × 181,077
  4. Step 4: Simplify right side
    84,721.50x = 32,788,879,929
  5. Step 5: Solve for x
    x = 32,788,879,929/84,721.50
  6. Step 6: Final answer
    x = 387,019.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.