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Finding the Third Proportional to 54,749 and 118,250

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Solution

The third proportional to 54,749 and 118,250 is: 255,403.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,749 : 118,250 = 118,250 : x
  2. Step 2: Convert to fraction form
    54,749/118,250 = 118,250/x
  3. Step 3: Cross multiply
    54,749x = 118,250 × 118,250
  4. Step 4: Simplify right side
    54,749x = 13,983,062,500
  5. Step 5: Solve for x
    x = 13,983,062,500/54,749
  6. Step 6: Final answer
    x = 255,403.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.