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Finding the Third Proportional to 76,122 and 163,692

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Solution

The third proportional to 76,122 and 163,692 is: 352,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,122 : 163,692 = 163,692 : x
  2. Step 2: Convert to fraction form
    76,122/163,692 = 163,692/x
  3. Step 3: Cross multiply
    76,122x = 163,692 × 163,692
  4. Step 4: Simplify right side
    76,122x = 26,795,070,864
  5. Step 5: Solve for x
    x = 26,795,070,864/76,122
  6. Step 6: Final answer
    x = 352,001.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.