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Finding the Third Proportional to 54,648 and 118,772

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Solution

The third proportional to 54,648 and 118,772 is: 258,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,648 : 118,772 = 118,772 : x
  2. Step 2: Convert to fraction form
    54,648/118,772 = 118,772/x
  3. Step 3: Cross multiply
    54,648x = 118,772 × 118,772
  4. Step 4: Simplify right side
    54,648x = 14,106,787,984
  5. Step 5: Solve for x
    x = 14,106,787,984/54,648
  6. Step 6: Final answer
    x = 258,139.14

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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.