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Finding the Third Proportional to 82,841 and 129,176

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Solution

The third proportional to 82,841 and 129,176 is: 201,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,841 : 129,176 = 129,176 : x
  2. Step 2: Convert to fraction form
    82,841/129,176 = 129,176/x
  3. Step 3: Cross multiply
    82,841x = 129,176 × 129,176
  4. Step 4: Simplify right side
    82,841x = 16,686,438,976
  5. Step 5: Solve for x
    x = 16,686,438,976/82,841
  6. Step 6: Final answer
    x = 201,427.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.