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Finding the Third Proportional to 86,154.75 and 125,889.75

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Solution

The third proportional to 86,154.75 and 125,889.75 is: 183,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,154.75 : 125,889.75 = 125,889.75 : x
  2. Step 2: Convert to fraction form
    86,154.75/125,889.75 = 125,889.75/x
  3. Step 3: Cross multiply
    86,154.75x = 125,889.75 × 125,889.75
  4. Step 4: Simplify right side
    86,154.75x = 15,848,229,155.06
  5. Step 5: Solve for x
    x = 15,848,229,155.06/86,154.75
  6. Step 6: Final answer
    x = 183,950.73

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