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Finding the Third Proportional to 54,684 and 118,854

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Solution

The third proportional to 54,684 and 118,854 is: 258,325.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,684 : 118,854 = 118,854 : x
  2. Step 2: Convert to fraction form
    54,684/118,854 = 118,854/x
  3. Step 3: Cross multiply
    54,684x = 118,854 × 118,854
  4. Step 4: Simplify right side
    54,684x = 14,126,273,316
  5. Step 5: Solve for x
    x = 14,126,273,316/54,684
  6. Step 6: Final answer
    x = 258,325.53

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Why These Related Problems?

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