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Finding the Third Proportional to 79,569 and 104,577.75

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Solution

The third proportional to 79,569 and 104,577.75 is: 137,446.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,569 : 104,577.75 = 104,577.75 : x
  2. Step 2: Convert to fraction form
    79,569/104,577.75 = 104,577.75/x
  3. Step 3: Cross multiply
    79,569x = 104,577.75 × 104,577.75
  4. Step 4: Simplify right side
    79,569x = 10,936,505,795.06
  5. Step 5: Solve for x
    x = 10,936,505,795.06/79,569
  6. Step 6: Final answer
    x = 137,446.82

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.