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Finding the Third Proportional to 54,772 and 88,182

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Solution

The third proportional to 54,772 and 88,182 is: 141,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,772 : 88,182 = 88,182 : x
  2. Step 2: Convert to fraction form
    54,772/88,182 = 88,182/x
  3. Step 3: Cross multiply
    54,772x = 88,182 × 88,182
  4. Step 4: Simplify right side
    54,772x = 7,776,065,124
  5. Step 5: Solve for x
    x = 7,776,065,124/54,772
  6. Step 6: Final answer
    x = 141,971.54

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.