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Finding the Third Proportional to 53,896 and 115,120

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Solution

The third proportional to 53,896 and 115,120 is: 245,892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,896 : 115,120 = 115,120 : x
  2. Step 2: Convert to fraction form
    53,896/115,120 = 115,120/x
  3. Step 3: Cross multiply
    53,896x = 115,120 × 115,120
  4. Step 4: Simplify right side
    53,896x = 13,252,614,400
  5. Step 5: Solve for x
    x = 13,252,614,400/53,896
  6. Step 6: Final answer
    x = 245,892.36

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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.