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Finding the Third Proportional to 84,275 and 181,058

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Solution

The third proportional to 84,275 and 181,058 is: 388,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,275 : 181,058 = 181,058 : x
  2. Step 2: Convert to fraction form
    84,275/181,058 = 181,058/x
  3. Step 3: Cross multiply
    84,275x = 181,058 × 181,058
  4. Step 4: Simplify right side
    84,275x = 32,781,999,364
  5. Step 5: Solve for x
    x = 32,781,999,364/84,275
  6. Step 6: Final answer
    x = 388,988.42

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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.