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Finding the Third Proportional to 61,127 and 92,096

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Solution

The third proportional to 61,127 and 92,096 is: 138,754.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,127 : 92,096 = 92,096 : x
  2. Step 2: Convert to fraction form
    61,127/92,096 = 92,096/x
  3. Step 3: Cross multiply
    61,127x = 92,096 × 92,096
  4. Step 4: Simplify right side
    61,127x = 8,481,673,216
  5. Step 5: Solve for x
    x = 8,481,673,216/61,127
  6. Step 6: Final answer
    x = 138,754.94

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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.