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Finding the Third Proportional to 79,129 and 105,704

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Solution

The third proportional to 79,129 and 105,704 is: 141,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,129 : 105,704 = 105,704 : x
  2. Step 2: Convert to fraction form
    79,129/105,704 = 105,704/x
  3. Step 3: Cross multiply
    79,129x = 105,704 × 105,704
  4. Step 4: Simplify right side
    79,129x = 11,173,335,616
  5. Step 5: Solve for x
    x = 11,173,335,616/79,129
  6. Step 6: Final answer
    x = 141,204.05

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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.