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Finding the Third Proportional to 54,594 and 115,796.25

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Solution

The third proportional to 54,594 and 115,796.25 is: 245,608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,594 : 115,796.25 = 115,796.25 : x
  2. Step 2: Convert to fraction form
    54,594/115,796.25 = 115,796.25/x
  3. Step 3: Cross multiply
    54,594x = 115,796.25 × 115,796.25
  4. Step 4: Simplify right side
    54,594x = 13,408,771,514.06
  5. Step 5: Solve for x
    x = 13,408,771,514.06/54,594
  6. Step 6: Final answer
    x = 245,608.89

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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.