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Finding the Third Proportional to 80,106 and 112,683

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Solution

The third proportional to 80,106 and 112,683 is: 158,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,106 : 112,683 = 112,683 : x
  2. Step 2: Convert to fraction form
    80,106/112,683 = 112,683/x
  3. Step 3: Cross multiply
    80,106x = 112,683 × 112,683
  4. Step 4: Simplify right side
    80,106x = 12,697,458,489
  5. Step 5: Solve for x
    x = 12,697,458,489/80,106
  6. Step 6: Final answer
    x = 158,508.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.