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Finding the Third Proportional to 81,924 and 176,916

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Solution

The third proportional to 81,924 and 176,916 is: 382,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,924 : 176,916 = 176,916 : x
  2. Step 2: Convert to fraction form
    81,924/176,916 = 176,916/x
  3. Step 3: Cross multiply
    81,924x = 176,916 × 176,916
  4. Step 4: Simplify right side
    81,924x = 31,299,271,056
  5. Step 5: Solve for x
    x = 31,299,271,056/81,924
  6. Step 6: Final answer
    x = 382,052.52

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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.