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Finding the Third Proportional to 54,217 and 117,484

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Solution

The third proportional to 54,217 and 117,484 is: 254,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,217 : 117,484 = 117,484 : x
  2. Step 2: Convert to fraction form
    54,217/117,484 = 117,484/x
  3. Step 3: Cross multiply
    54,217x = 117,484 × 117,484
  4. Step 4: Simplify right side
    54,217x = 13,802,490,256
  5. Step 5: Solve for x
    x = 13,802,490,256/54,217
  6. Step 6: Final answer
    x = 254,578.64

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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.