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Finding the Third Proportional to 70,077 and 108,807

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Solution

The third proportional to 70,077 and 108,807 is: 168,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,077 : 108,807 = 108,807 : x
  2. Step 2: Convert to fraction form
    70,077/108,807 = 108,807/x
  3. Step 3: Cross multiply
    70,077x = 108,807 × 108,807
  4. Step 4: Simplify right side
    70,077x = 11,838,963,249
  5. Step 5: Solve for x
    x = 11,838,963,249/70,077
  6. Step 6: Final answer
    x = 168,942.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.