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Finding the Third Proportional to 37,203 and 87,806.25

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Solution

The third proportional to 37,203 and 87,806.25 is: 207,239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,203 : 87,806.25 = 87,806.25 : x
  2. Step 2: Convert to fraction form
    37,203/87,806.25 = 87,806.25/x
  3. Step 3: Cross multiply
    37,203x = 87,806.25 × 87,806.25
  4. Step 4: Simplify right side
    37,203x = 7,709,937,539.06
  5. Step 5: Solve for x
    x = 7,709,937,539.06/37,203
  6. Step 6: Final answer
    x = 207,239.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.