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Finding the Third Proportional to 73,812 and 117,505

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Solution

The third proportional to 73,812 and 117,505 is: 187,062.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,812 : 117,505 = 117,505 : x
  2. Step 2: Convert to fraction form
    73,812/117,505 = 117,505/x
  3. Step 3: Cross multiply
    73,812x = 117,505 × 117,505
  4. Step 4: Simplify right side
    73,812x = 13,807,425,025
  5. Step 5: Solve for x
    x = 13,807,425,025/73,812
  6. Step 6: Final answer
    x = 187,062.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.