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Finding the Third Proportional to 61,125 and 92,093

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Solution

The third proportional to 61,125 and 92,093 is: 138,750.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,125 : 92,093 = 92,093 : x
  2. Step 2: Convert to fraction form
    61,125/92,093 = 92,093/x
  3. Step 3: Cross multiply
    61,125x = 92,093 × 92,093
  4. Step 4: Simplify right side
    61,125x = 8,481,120,649
  5. Step 5: Solve for x
    x = 8,481,120,649/61,125
  6. Step 6: Final answer
    x = 138,750.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.