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Finding the Third Proportional to 54,967.50 and 119,778

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Solution

The third proportional to 54,967.50 and 119,778 is: 261,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,967.50 : 119,778 = 119,778 : x
  2. Step 2: Convert to fraction form
    54,967.50/119,778 = 119,778/x
  3. Step 3: Cross multiply
    54,967.50x = 119,778 × 119,778
  4. Step 4: Simplify right side
    54,967.50x = 14,346,769,284
  5. Step 5: Solve for x
    x = 14,346,769,284/54,967.50
  6. Step 6: Final answer
    x = 261,004.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.