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Finding the Third Proportional to 72,450 and 102,600

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Solution

The third proportional to 72,450 and 102,600 is: 145,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,450 : 102,600 = 102,600 : x
  2. Step 2: Convert to fraction form
    72,450/102,600 = 102,600/x
  3. Step 3: Cross multiply
    72,450x = 102,600 × 102,600
  4. Step 4: Simplify right side
    72,450x = 10,526,760,000
  5. Step 5: Solve for x
    x = 10,526,760,000/72,450
  6. Step 6: Final answer
    x = 145,296.89

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.