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Finding the Third Proportional to 83,154 and 127,806

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Solution

The third proportional to 83,154 and 127,806 is: 196,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,154 : 127,806 = 127,806 : x
  2. Step 2: Convert to fraction form
    83,154/127,806 = 127,806/x
  3. Step 3: Cross multiply
    83,154x = 127,806 × 127,806
  4. Step 4: Simplify right side
    83,154x = 16,334,373,636
  5. Step 5: Solve for x
    x = 16,334,373,636/83,154
  6. Step 6: Final answer
    x = 196,435.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.