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Finding the Third Proportional to 54,490.50 and 82,048.50

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Solution

The third proportional to 54,490.50 and 82,048.50 is: 123,543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,490.50 : 82,048.50 = 82,048.50 : x
  2. Step 2: Convert to fraction form
    54,490.50/82,048.50 = 82,048.50/x
  3. Step 3: Cross multiply
    54,490.50x = 82,048.50 × 82,048.50
  4. Step 4: Simplify right side
    54,490.50x = 6,731,956,352.25
  5. Step 5: Solve for x
    x = 6,731,956,352.25/54,490.50
  6. Step 6: Final answer
    x = 123,543.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.