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Finding the Third Proportional to 54,758 and 118,810.50

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Solution

The third proportional to 54,758 and 118,810.50 is: 257,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,758 : 118,810.50 = 118,810.50 : x
  2. Step 2: Convert to fraction form
    54,758/118,810.50 = 118,810.50/x
  3. Step 3: Cross multiply
    54,758x = 118,810.50 × 118,810.50
  4. Step 4: Simplify right side
    54,758x = 14,115,934,910.25
  5. Step 5: Solve for x
    x = 14,115,934,910.25/54,758
  6. Step 6: Final answer
    x = 257,787.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.