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Finding the Third Proportional to 74,786 and 101,427

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Solution

The third proportional to 74,786 and 101,427 is: 137,558.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,786 : 101,427 = 101,427 : x
  2. Step 2: Convert to fraction form
    74,786/101,427 = 101,427/x
  3. Step 3: Cross multiply
    74,786x = 101,427 × 101,427
  4. Step 4: Simplify right side
    74,786x = 10,287,436,329
  5. Step 5: Solve for x
    x = 10,287,436,329/74,786
  6. Step 6: Final answer
    x = 137,558.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.