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Finding the Third Proportional to 84,696 and 127,182

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Solution

The third proportional to 84,696 and 127,182 is: 190,980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,696 : 127,182 = 127,182 : x
  2. Step 2: Convert to fraction form
    84,696/127,182 = 127,182/x
  3. Step 3: Cross multiply
    84,696x = 127,182 × 127,182
  4. Step 4: Simplify right side
    84,696x = 16,175,261,124
  5. Step 5: Solve for x
    x = 16,175,261,124/84,696
  6. Step 6: Final answer
    x = 190,980.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.