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Finding the Third Proportional to 54,068 and 118,661

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Solution

The third proportional to 54,068 and 118,661 is: 260,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,068 : 118,661 = 118,661 : x
  2. Step 2: Convert to fraction form
    54,068/118,661 = 118,661/x
  3. Step 3: Cross multiply
    54,068x = 118,661 × 118,661
  4. Step 4: Simplify right side
    54,068x = 14,080,432,921
  5. Step 5: Solve for x
    x = 14,080,432,921/54,068
  6. Step 6: Final answer
    x = 260,420.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.