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Finding the Third Proportional to 53,606 and 74,073

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Solution

The third proportional to 53,606 and 74,073 is: 102,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,606 : 74,073 = 74,073 : x
  2. Step 2: Convert to fraction form
    53,606/74,073 = 74,073/x
  3. Step 3: Cross multiply
    53,606x = 74,073 × 74,073
  4. Step 4: Simplify right side
    53,606x = 5,486,809,329
  5. Step 5: Solve for x
    x = 5,486,809,329/53,606
  6. Step 6: Final answer
    x = 102,354.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.