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Finding the Third Proportional to 76,341 and 100,388

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Solution

The third proportional to 76,341 and 100,388 is: 132,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,341 : 100,388 = 100,388 : x
  2. Step 2: Convert to fraction form
    76,341/100,388 = 100,388/x
  3. Step 3: Cross multiply
    76,341x = 100,388 × 100,388
  4. Step 4: Simplify right side
    76,341x = 10,077,750,544
  5. Step 5: Solve for x
    x = 10,077,750,544/76,341
  6. Step 6: Final answer
    x = 132,009.67

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.