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Finding the Third Proportional to 54,063.75 and 117,817.50

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Solution

The third proportional to 54,063.75 and 117,817.50 is: 256,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,063.75 : 117,817.50 = 117,817.50 : x
  2. Step 2: Convert to fraction form
    54,063.75/117,817.50 = 117,817.50/x
  3. Step 3: Cross multiply
    54,063.75x = 117,817.50 × 117,817.50
  4. Step 4: Simplify right side
    54,063.75x = 13,880,963,306.25
  5. Step 5: Solve for x
    x = 13,880,963,306.25/54,063.75
  6. Step 6: Final answer
    x = 256,751.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.