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Finding the Third Proportional to 74,373 and 104,025

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Solution

The third proportional to 74,373 and 104,025 is: 145,499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,373 : 104,025 = 104,025 : x
  2. Step 2: Convert to fraction form
    74,373/104,025 = 104,025/x
  3. Step 3: Cross multiply
    74,373x = 104,025 × 104,025
  4. Step 4: Simplify right side
    74,373x = 10,821,200,625
  5. Step 5: Solve for x
    x = 10,821,200,625/74,373
  6. Step 6: Final answer
    x = 145,499.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.