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Finding the Third Proportional to 72,000.14 and 111,007.34

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Solution

The third proportional to 72,000.14 and 111,007.34 is: 171,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,000.14 : 111,007.34 = 111,007.34 : x
  2. Step 2: Convert to fraction form
    72,000.14/111,007.34 = 111,007.34/x
  3. Step 3: Cross multiply
    72,000.14x = 111,007.34 × 111,007.34
  4. Step 4: Simplify right side
    72,000.14x = 12,322,628,631.94
  5. Step 5: Solve for x
    x = 12,322,628,631.94/72,000.14
  6. Step 6: Final answer
    x = 171,147.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.