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Finding the Third Proportional to 127,629 and 182,682

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Solution

The third proportional to 127,629 and 182,682 is: 261,482.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,629 : 182,682 = 182,682 : x
  2. Step 2: Convert to fraction form
    127,629/182,682 = 182,682/x
  3. Step 3: Cross multiply
    127,629x = 182,682 × 182,682
  4. Step 4: Simplify right side
    127,629x = 33,372,713,124
  5. Step 5: Solve for x
    x = 33,372,713,124/127,629
  6. Step 6: Final answer
    x = 261,482.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.