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Finding the Third Proportional to 72,020 and 109,025

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Solution

The third proportional to 72,020 and 109,025 is: 165,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,020 : 109,025 = 109,025 : x
  2. Step 2: Convert to fraction form
    72,020/109,025 = 109,025/x
  3. Step 3: Cross multiply
    72,020x = 109,025 × 109,025
  4. Step 4: Simplify right side
    72,020x = 11,886,450,625
  5. Step 5: Solve for x
    x = 11,886,450,625/72,020
  6. Step 6: Final answer
    x = 165,043.75

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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.