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Finding the Third Proportional to 49,104 and 74,592

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Solution

The third proportional to 49,104 and 74,592 is: 113,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,104 : 74,592 = 74,592 : x
  2. Step 2: Convert to fraction form
    49,104/74,592 = 74,592/x
  3. Step 3: Cross multiply
    49,104x = 74,592 × 74,592
  4. Step 4: Simplify right side
    49,104x = 5,563,966,464
  5. Step 5: Solve for x
    x = 5,563,966,464/49,104
  6. Step 6: Final answer
    x = 113,309.84

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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.