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Finding the Third Proportional to 34,296 and 75,120

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Solution

The third proportional to 34,296 and 75,120 is: 164,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,296 : 75,120 = 75,120 : x
  2. Step 2: Convert to fraction form
    34,296/75,120 = 75,120/x
  3. Step 3: Cross multiply
    34,296x = 75,120 × 75,120
  4. Step 4: Simplify right side
    34,296x = 5,643,014,400
  5. Step 5: Solve for x
    x = 5,643,014,400/34,296
  6. Step 6: Final answer
    x = 164,538.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.