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Finding the Third Proportional to 74,105.30 and 110,955.23

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Solution

The third proportional to 74,105.30 and 110,955.23 is: 166,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,105.30 : 110,955.23 = 110,955.23 : x
  2. Step 2: Convert to fraction form
    74,105.30/110,955.23 = 110,955.23/x
  3. Step 3: Cross multiply
    74,105.30x = 110,955.23 × 110,955.23
  4. Step 4: Simplify right side
    74,105.30x = 12,311,064,035.21
  5. Step 5: Solve for x
    x = 12,311,064,035.21/74,105.30
  6. Step 6: Final answer
    x = 166,129.34

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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.