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Finding the Third Proportional to 74,372.38 and 113,301.63

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Solution

The third proportional to 74,372.38 and 113,301.63 is: 172,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,372.38 : 113,301.63 = 113,301.63 : x
  2. Step 2: Convert to fraction form
    74,372.38/113,301.63 = 113,301.63/x
  3. Step 3: Cross multiply
    74,372.38x = 113,301.63 × 113,301.63
  4. Step 4: Simplify right side
    74,372.38x = 12,837,258,227.64
  5. Step 5: Solve for x
    x = 12,837,258,227.64/74,372.38
  6. Step 6: Final answer
    x = 172,607.88

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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.