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Finding the Third Proportional to 71,394.75 and 100,406.25

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Solution

The third proportional to 71,394.75 and 100,406.25 is: 141,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,394.75 : 100,406.25 = 100,406.25 : x
  2. Step 2: Convert to fraction form
    71,394.75/100,406.25 = 100,406.25/x
  3. Step 3: Cross multiply
    71,394.75x = 100,406.25 × 100,406.25
  4. Step 4: Simplify right side
    71,394.75x = 10,081,415,039.06
  5. Step 5: Solve for x
    x = 10,081,415,039.06/71,394.75
  6. Step 6: Final answer
    x = 141,206.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.