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Finding the Third Proportional to 86,131.13 and 125,794.69

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Solution

The third proportional to 86,131.13 and 125,794.69 is: 183,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,131.13 : 125,794.69 = 125,794.69 : x
  2. Step 2: Convert to fraction form
    86,131.13/125,794.69 = 125,794.69/x
  3. Step 3: Cross multiply
    86,131.13x = 125,794.69 × 125,794.69
  4. Step 4: Simplify right side
    86,131.13x = 15,824,303,403.22
  5. Step 5: Solve for x
    x = 15,824,303,403.22/86,131.13
  6. Step 6: Final answer
    x = 183,723.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.