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Finding the Third Proportional to 96,726 and 136,989

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Solution

The third proportional to 96,726 and 136,989 is: 194,011.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,726 : 136,989 = 136,989 : x
  2. Step 2: Convert to fraction form
    96,726/136,989 = 136,989/x
  3. Step 3: Cross multiply
    96,726x = 136,989 × 136,989
  4. Step 4: Simplify right side
    96,726x = 18,765,986,121
  5. Step 5: Solve for x
    x = 18,765,986,121/96,726
  6. Step 6: Final answer
    x = 194,011.81

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.