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Finding the Third Proportional to 84,384 and 182,113

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Solution

The third proportional to 84,384 and 182,113 is: 393,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,384 : 182,113 = 182,113 : x
  2. Step 2: Convert to fraction form
    84,384/182,113 = 182,113/x
  3. Step 3: Cross multiply
    84,384x = 182,113 × 182,113
  4. Step 4: Simplify right side
    84,384x = 33,165,144,769
  5. Step 5: Solve for x
    x = 33,165,144,769/84,384
  6. Step 6: Final answer
    x = 393,026.46

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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.