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Finding the Third Proportional to 74,093 and 97,834

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Solution

The third proportional to 74,093 and 97,834 is: 129,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,093 : 97,834 = 97,834 : x
  2. Step 2: Convert to fraction form
    74,093/97,834 = 97,834/x
  3. Step 3: Cross multiply
    74,093x = 97,834 × 97,834
  4. Step 4: Simplify right side
    74,093x = 9,571,491,556
  5. Step 5: Solve for x
    x = 9,571,491,556/74,093
  6. Step 6: Final answer
    x = 129,182.13

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.