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Finding the Third Proportional to 86,481 and 110,504.25

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Solution

The third proportional to 86,481 and 110,504.25 is: 141,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,481 : 110,504.25 = 110,504.25 : x
  2. Step 2: Convert to fraction form
    86,481/110,504.25 = 110,504.25/x
  3. Step 3: Cross multiply
    86,481x = 110,504.25 × 110,504.25
  4. Step 4: Simplify right side
    86,481x = 12,211,189,268.06
  5. Step 5: Solve for x
    x = 12,211,189,268.06/86,481
  6. Step 6: Final answer
    x = 141,200.83

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.