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Finding the Third Proportional to 84,731.06 and 180,721.13

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Solution

The third proportional to 84,731.06 and 180,721.13 is: 385,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,731.06 : 180,721.13 = 180,721.13 : x
  2. Step 2: Convert to fraction form
    84,731.06/180,721.13 = 180,721.13/x
  3. Step 3: Cross multiply
    84,731.06x = 180,721.13 × 180,721.13
  4. Step 4: Simplify right side
    84,731.06x = 32,660,125,021.27
  5. Step 5: Solve for x
    x = 32,660,125,021.27/84,731.06
  6. Step 6: Final answer
    x = 385,456.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.