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Finding the Third Proportional to 71,436.94 and 105,021.56

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Solution

The third proportional to 71,436.94 and 105,021.56 is: 154,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,436.94 : 105,021.56 = 105,021.56 : x
  2. Step 2: Convert to fraction form
    71,436.94/105,021.56 = 105,021.56/x
  3. Step 3: Cross multiply
    71,436.94x = 105,021.56 × 105,021.56
  4. Step 4: Simplify right side
    71,436.94x = 11,029,528,589.94
  5. Step 5: Solve for x
    x = 11,029,528,589.94/71,436.94
  6. Step 6: Final answer
    x = 154,395.32

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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.