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Finding the Third Proportional to 54,780 and 116,622.75

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Solution

The third proportional to 54,780 and 116,622.75 is: 248,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,780 : 116,622.75 = 116,622.75 : x
  2. Step 2: Convert to fraction form
    54,780/116,622.75 = 116,622.75/x
  3. Step 3: Cross multiply
    54,780x = 116,622.75 × 116,622.75
  4. Step 4: Simplify right side
    54,780x = 13,600,865,817.56
  5. Step 5: Solve for x
    x = 13,600,865,817.56/54,780
  6. Step 6: Final answer
    x = 248,281.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.