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Finding the Third Proportional to 54,619.50 and 118,581

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Solution

The third proportional to 54,619.50 and 118,581 is: 257,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,619.50 : 118,581 = 118,581 : x
  2. Step 2: Convert to fraction form
    54,619.50/118,581 = 118,581/x
  3. Step 3: Cross multiply
    54,619.50x = 118,581 × 118,581
  4. Step 4: Simplify right side
    54,619.50x = 14,061,453,561
  5. Step 5: Solve for x
    x = 14,061,453,561/54,619.50
  6. Step 6: Final answer
    x = 257,443.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.