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Finding the Third Proportional to 72,000 and 105,568

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Solution

The third proportional to 72,000 and 105,568 is: 154,786.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,000 : 105,568 = 105,568 : x
  2. Step 2: Convert to fraction form
    72,000/105,568 = 105,568/x
  3. Step 3: Cross multiply
    72,000x = 105,568 × 105,568
  4. Step 4: Simplify right side
    72,000x = 11,144,602,624
  5. Step 5: Solve for x
    x = 11,144,602,624/72,000
  6. Step 6: Final answer
    x = 154,786.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.