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Finding the Third Proportional to 53,907 and 115,205.25

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Solution

The third proportional to 53,907 and 115,205.25 is: 246,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,907 : 115,205.25 = 115,205.25 : x
  2. Step 2: Convert to fraction form
    53,907/115,205.25 = 115,205.25/x
  3. Step 3: Cross multiply
    53,907x = 115,205.25 × 115,205.25
  4. Step 4: Simplify right side
    53,907x = 13,272,249,627.56
  5. Step 5: Solve for x
    x = 13,272,249,627.56/53,907
  6. Step 6: Final answer
    x = 246,206.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.