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Finding the Third Proportional to 64,291 and 93,923

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Solution

The third proportional to 64,291 and 93,923 is: 137,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,291 : 93,923 = 93,923 : x
  2. Step 2: Convert to fraction form
    64,291/93,923 = 93,923/x
  3. Step 3: Cross multiply
    64,291x = 93,923 × 93,923
  4. Step 4: Simplify right side
    64,291x = 8,821,529,929
  5. Step 5: Solve for x
    x = 8,821,529,929/64,291
  6. Step 6: Final answer
    x = 137,212.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.