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Finding the Third Proportional to 70,533 and 108,036

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Solution

The third proportional to 70,533 and 108,036 is: 165,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,533 : 108,036 = 108,036 : x
  2. Step 2: Convert to fraction form
    70,533/108,036 = 108,036/x
  3. Step 3: Cross multiply
    70,533x = 108,036 × 108,036
  4. Step 4: Simplify right side
    70,533x = 11,671,777,296
  5. Step 5: Solve for x
    x = 11,671,777,296/70,533
  6. Step 6: Final answer
    x = 165,479.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.