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Finding the Third Proportional to 54,900 and 116,280

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Solution

The third proportional to 54,900 and 116,280 is: 246,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,900 : 116,280 = 116,280 : x
  2. Step 2: Convert to fraction form
    54,900/116,280 = 116,280/x
  3. Step 3: Cross multiply
    54,900x = 116,280 × 116,280
  4. Step 4: Simplify right side
    54,900x = 13,521,038,400
  5. Step 5: Solve for x
    x = 13,521,038,400/54,900
  6. Step 6: Final answer
    x = 246,284.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.