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Finding the Third Proportional to 61,846 and 92,608

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Solution

The third proportional to 61,846 and 92,608 is: 138,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,846 : 92,608 = 92,608 : x
  2. Step 2: Convert to fraction form
    61,846/92,608 = 92,608/x
  3. Step 3: Cross multiply
    61,846x = 92,608 × 92,608
  4. Step 4: Simplify right side
    61,846x = 8,576,241,664
  5. Step 5: Solve for x
    x = 8,576,241,664/61,846
  6. Step 6: Final answer
    x = 138,670.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.