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Finding the Third Proportional to 53,914 and 115,220

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Solution

The third proportional to 53,914 and 115,220 is: 246,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,914 : 115,220 = 115,220 : x
  2. Step 2: Convert to fraction form
    53,914/115,220 = 115,220/x
  3. Step 3: Cross multiply
    53,914x = 115,220 × 115,220
  4. Step 4: Simplify right side
    53,914x = 13,275,648,400
  5. Step 5: Solve for x
    x = 13,275,648,400/53,914
  6. Step 6: Final answer
    x = 246,237.50

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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.