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Finding the Third Proportional to 71,772.75 and 105,462

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Solution

The third proportional to 71,772.75 and 105,462 is: 154,964.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,772.75 : 105,462 = 105,462 : x
  2. Step 2: Convert to fraction form
    71,772.75/105,462 = 105,462/x
  3. Step 3: Cross multiply
    71,772.75x = 105,462 × 105,462
  4. Step 4: Simplify right side
    71,772.75x = 11,122,233,444
  5. Step 5: Solve for x
    x = 11,122,233,444/71,772.75
  6. Step 6: Final answer
    x = 154,964.57

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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.