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Finding the Third Proportional to 72,022 and 109,030

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Solution

The third proportional to 72,022 and 109,030 is: 165,054.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,022 : 109,030 = 109,030 : x
  2. Step 2: Convert to fraction form
    72,022/109,030 = 109,030/x
  3. Step 3: Cross multiply
    72,022x = 109,030 × 109,030
  4. Step 4: Simplify right side
    72,022x = 11,887,540,900
  5. Step 5: Solve for x
    x = 11,887,540,900/72,022
  6. Step 6: Final answer
    x = 165,054.30

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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.