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Finding the Third Proportional to 72,645.75 and 110,055.38

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Solution

The third proportional to 72,645.75 and 110,055.38 is: 166,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,645.75 : 110,055.38 = 110,055.38 : x
  2. Step 2: Convert to fraction form
    72,645.75/110,055.38 = 110,055.38/x
  3. Step 3: Cross multiply
    72,645.75x = 110,055.38 × 110,055.38
  4. Step 4: Simplify right side
    72,645.75x = 12,112,185,566.39
  5. Step 5: Solve for x
    x = 12,112,185,566.39/72,645.75
  6. Step 6: Final answer
    x = 166,729.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.