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Finding the Third Proportional to 53,092.13 and 114,054.75

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Solution

The third proportional to 53,092.13 and 114,054.75 is: 245,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,092.13 : 114,054.75 = 114,054.75 : x
  2. Step 2: Convert to fraction form
    53,092.13/114,054.75 = 114,054.75/x
  3. Step 3: Cross multiply
    53,092.13x = 114,054.75 × 114,054.75
  4. Step 4: Simplify right side
    53,092.13x = 13,008,485,997.56
  5. Step 5: Solve for x
    x = 13,008,485,997.56/53,092.13
  6. Step 6: Final answer
    x = 245,017.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.