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Finding the Third Proportional to 64,008 and 100,413

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Solution

The third proportional to 64,008 and 100,413 is: 157,523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,008 : 100,413 = 100,413 : x
  2. Step 2: Convert to fraction form
    64,008/100,413 = 100,413/x
  3. Step 3: Cross multiply
    64,008x = 100,413 × 100,413
  4. Step 4: Simplify right side
    64,008x = 10,082,770,569
  5. Step 5: Solve for x
    x = 10,082,770,569/64,008
  6. Step 6: Final answer
    x = 157,523.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.