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Finding the Third Proportional to 74,452 and 103,470

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Solution

The third proportional to 74,452 and 103,470 is: 143,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,452 : 103,470 = 103,470 : x
  2. Step 2: Convert to fraction form
    74,452/103,470 = 103,470/x
  3. Step 3: Cross multiply
    74,452x = 103,470 × 103,470
  4. Step 4: Simplify right side
    74,452x = 10,706,040,900
  5. Step 5: Solve for x
    x = 10,706,040,900/74,452
  6. Step 6: Final answer
    x = 143,797.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.