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Finding the Third Proportional to 34,682 and 77,128

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Solution

The third proportional to 34,682 and 77,128 is: 171,522.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,682 : 77,128 = 77,128 : x
  2. Step 2: Convert to fraction form
    34,682/77,128 = 77,128/x
  3. Step 3: Cross multiply
    34,682x = 77,128 × 77,128
  4. Step 4: Simplify right side
    34,682x = 5,948,728,384
  5. Step 5: Solve for x
    x = 5,948,728,384/34,682
  6. Step 6: Final answer
    x = 171,522.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.