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Finding the Third Proportional to 74,192 and 113,745

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Solution

The third proportional to 74,192 and 113,745 is: 174,384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,192 : 113,745 = 113,745 : x
  2. Step 2: Convert to fraction form
    74,192/113,745 = 113,745/x
  3. Step 3: Cross multiply
    74,192x = 113,745 × 113,745
  4. Step 4: Simplify right side
    74,192x = 12,937,925,025
  5. Step 5: Solve for x
    x = 12,937,925,025/74,192
  6. Step 6: Final answer
    x = 174,384.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.