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Finding the Third Proportional to 84,675 and 181,020

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Solution

The third proportional to 84,675 and 181,020 is: 386,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,675 : 181,020 = 181,020 : x
  2. Step 2: Convert to fraction form
    84,675/181,020 = 181,020/x
  3. Step 3: Cross multiply
    84,675x = 181,020 × 181,020
  4. Step 4: Simplify right side
    84,675x = 32,768,240,400
  5. Step 5: Solve for x
    x = 32,768,240,400/84,675
  6. Step 6: Final answer
    x = 386,988.37

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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.