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Finding the Third Proportional to 34,056 and 82,391

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Solution

The third proportional to 34,056 and 82,391 is: 199,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,056 : 82,391 = 82,391 : x
  2. Step 2: Convert to fraction form
    34,056/82,391 = 82,391/x
  3. Step 3: Cross multiply
    34,056x = 82,391 × 82,391
  4. Step 4: Simplify right side
    34,056x = 6,788,276,881
  5. Step 5: Solve for x
    x = 6,788,276,881/34,056
  6. Step 6: Final answer
    x = 199,326.90

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.