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Finding the Third Proportional to 86,649.75 and 115,901.25

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Solution

The third proportional to 86,649.75 and 115,901.25 is: 155,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,649.75 : 115,901.25 = 115,901.25 : x
  2. Step 2: Convert to fraction form
    86,649.75/115,901.25 = 115,901.25/x
  3. Step 3: Cross multiply
    86,649.75x = 115,901.25 × 115,901.25
  4. Step 4: Simplify right side
    86,649.75x = 13,433,099,751.56
  5. Step 5: Solve for x
    x = 13,433,099,751.56/86,649.75
  6. Step 6: Final answer
    x = 155,027.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.