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Finding the Third Proportional to 64,726 and 86,923

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Solution

The third proportional to 64,726 and 86,923 is: 116,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,726 : 86,923 = 86,923 : x
  2. Step 2: Convert to fraction form
    64,726/86,923 = 86,923/x
  3. Step 3: Cross multiply
    64,726x = 86,923 × 86,923
  4. Step 4: Simplify right side
    64,726x = 7,555,607,929
  5. Step 5: Solve for x
    x = 7,555,607,929/64,726
  6. Step 6: Final answer
    x = 116,732.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.