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Finding the Third Proportional to 84,642 and 182,046

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Solution

The third proportional to 84,642 and 182,046 is: 391,540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,642 : 182,046 = 182,046 : x
  2. Step 2: Convert to fraction form
    84,642/182,046 = 182,046/x
  3. Step 3: Cross multiply
    84,642x = 182,046 × 182,046
  4. Step 4: Simplify right side
    84,642x = 33,140,746,116
  5. Step 5: Solve for x
    x = 33,140,746,116/84,642
  6. Step 6: Final answer
    x = 391,540.21

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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.