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Finding the Third Proportional to 64,408 and 100,544

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Solution

The third proportional to 64,408 and 100,544 is: 156,954.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,408 : 100,544 = 100,544 : x
  2. Step 2: Convert to fraction form
    64,408/100,544 = 100,544/x
  3. Step 3: Cross multiply
    64,408x = 100,544 × 100,544
  4. Step 4: Simplify right side
    64,408x = 10,109,095,936
  5. Step 5: Solve for x
    x = 10,109,095,936/64,408
  6. Step 6: Final answer
    x = 156,954.04

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.