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Finding the Third Proportional to 43,477 and 66,129

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Solution

The third proportional to 43,477 and 66,129 is: 100,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,477 : 66,129 = 66,129 : x
  2. Step 2: Convert to fraction form
    43,477/66,129 = 66,129/x
  3. Step 3: Cross multiply
    43,477x = 66,129 × 66,129
  4. Step 4: Simplify right side
    43,477x = 4,373,044,641
  5. Step 5: Solve for x
    x = 4,373,044,641/43,477
  6. Step 6: Final answer
    x = 100,582.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.