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Finding the Third Proportional to 54,540 and 118,788

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Solution

The third proportional to 54,540 and 118,788 is: 258,720.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,540 : 118,788 = 118,788 : x
  2. Step 2: Convert to fraction form
    54,540/118,788 = 118,788/x
  3. Step 3: Cross multiply
    54,540x = 118,788 × 118,788
  4. Step 4: Simplify right side
    54,540x = 14,110,588,944
  5. Step 5: Solve for x
    x = 14,110,588,944/54,540
  6. Step 6: Final answer
    x = 258,720.00

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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.