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Finding the Third Proportional to 54,735 and 118,467

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Solution

The third proportional to 54,735 and 118,467 is: 256,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,735 : 118,467 = 118,467 : x
  2. Step 2: Convert to fraction form
    54,735/118,467 = 118,467/x
  3. Step 3: Cross multiply
    54,735x = 118,467 × 118,467
  4. Step 4: Simplify right side
    54,735x = 14,034,430,089
  5. Step 5: Solve for x
    x = 14,034,430,089/54,735
  6. Step 6: Final answer
    x = 256,406.87

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Why These Related Problems?

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