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Finding the Third Proportional to 84,271.17 and 181,049.24

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Solution

The third proportional to 84,271.17 and 181,049.24 is: 388,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,271.17 : 181,049.24 = 181,049.24 : x
  2. Step 2: Convert to fraction form
    84,271.17/181,049.24 = 181,049.24/x
  3. Step 3: Cross multiply
    84,271.17x = 181,049.24 × 181,049.24
  4. Step 4: Simplify right side
    84,271.17x = 32,778,826,682.22
  5. Step 5: Solve for x
    x = 32,778,826,682.22/84,271.17
  6. Step 6: Final answer
    x = 388,968.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.