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Finding the Third Proportional to 61,108 and 92,834

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Solution

The third proportional to 61,108 and 92,834 is: 141,031.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,108 : 92,834 = 92,834 : x
  2. Step 2: Convert to fraction form
    61,108/92,834 = 92,834/x
  3. Step 3: Cross multiply
    61,108x = 92,834 × 92,834
  4. Step 4: Simplify right side
    61,108x = 8,618,151,556
  5. Step 5: Solve for x
    x = 8,618,151,556/61,108
  6. Step 6: Final answer
    x = 141,031.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.