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Finding the Third Proportional to 74,115.75 and 110,971.13

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Solution

The third proportional to 74,115.75 and 110,971.13 is: 166,153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,115.75 : 110,971.13 = 110,971.13 : x
  2. Step 2: Convert to fraction form
    74,115.75/110,971.13 = 110,971.13/x
  3. Step 3: Cross multiply
    74,115.75x = 110,971.13 × 110,971.13
  4. Step 4: Simplify right side
    74,115.75x = 12,314,590,583.77
  5. Step 5: Solve for x
    x = 12,314,590,583.77/74,115.75
  6. Step 6: Final answer
    x = 166,153.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.