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Finding the Third Proportional to 137,622 and 193,804

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Solution

The third proportional to 137,622 and 193,804 is: 272,921.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,622 : 193,804 = 193,804 : x
  2. Step 2: Convert to fraction form
    137,622/193,804 = 193,804/x
  3. Step 3: Cross multiply
    137,622x = 193,804 × 193,804
  4. Step 4: Simplify right side
    137,622x = 37,559,990,416
  5. Step 5: Solve for x
    x = 37,559,990,416/137,622
  6. Step 6: Final answer
    x = 272,921.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.