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Finding the Third Proportional to 61,743 and 92,247

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Solution

The third proportional to 61,743 and 92,247 is: 137,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,743 : 92,247 = 92,247 : x
  2. Step 2: Convert to fraction form
    61,743/92,247 = 92,247/x
  3. Step 3: Cross multiply
    61,743x = 92,247 × 92,247
  4. Step 4: Simplify right side
    61,743x = 8,509,509,009
  5. Step 5: Solve for x
    x = 8,509,509,009/61,743
  6. Step 6: Final answer
    x = 137,821.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.