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Finding the Third Proportional to 39,031 and 84,222

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Solution

The third proportional to 39,031 and 84,222 is: 181,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,031 : 84,222 = 84,222 : x
  2. Step 2: Convert to fraction form
    39,031/84,222 = 84,222/x
  3. Step 3: Cross multiply
    39,031x = 84,222 × 84,222
  4. Step 4: Simplify right side
    39,031x = 7,093,345,284
  5. Step 5: Solve for x
    x = 7,093,345,284/39,031
  6. Step 6: Final answer
    x = 181,736.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.