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Finding the Third Proportional to 54,768 and 118,275

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Solution

The third proportional to 54,768 and 118,275 is: 255,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,768 : 118,275 = 118,275 : x
  2. Step 2: Convert to fraction form
    54,768/118,275 = 118,275/x
  3. Step 3: Cross multiply
    54,768x = 118,275 × 118,275
  4. Step 4: Simplify right side
    54,768x = 13,988,975,625
  5. Step 5: Solve for x
    x = 13,988,975,625/54,768
  6. Step 6: Final answer
    x = 255,422.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.