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Finding the Third Proportional to 74,372.50 and 113,301.75

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Solution

The third proportional to 74,372.50 and 113,301.75 is: 172,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,372.50 : 113,301.75 = 113,301.75 : x
  2. Step 2: Convert to fraction form
    74,372.50/113,301.75 = 113,301.75/x
  3. Step 3: Cross multiply
    74,372.50x = 113,301.75 × 113,301.75
  4. Step 4: Simplify right side
    74,372.50x = 12,837,286,553.06
  5. Step 5: Solve for x
    x = 12,837,286,553.06/74,372.50
  6. Step 6: Final answer
    x = 172,607.97

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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.