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Finding the Third Proportional to 86,237.25 and 188,505.75

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Solution

The third proportional to 86,237.25 and 188,505.75 is: 412,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,237.25 : 188,505.75 = 188,505.75 : x
  2. Step 2: Convert to fraction form
    86,237.25/188,505.75 = 188,505.75/x
  3. Step 3: Cross multiply
    86,237.25x = 188,505.75 × 188,505.75
  4. Step 4: Simplify right side
    86,237.25x = 35,534,417,783.06
  5. Step 5: Solve for x
    x = 35,534,417,783.06/86,237.25
  6. Step 6: Final answer
    x = 412,054.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.