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Finding the Third Proportional to 96,873 and 130,182

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Solution

The third proportional to 96,873 and 130,182 is: 174,944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,873 : 130,182 = 130,182 : x
  2. Step 2: Convert to fraction form
    96,873/130,182 = 130,182/x
  3. Step 3: Cross multiply
    96,873x = 130,182 × 130,182
  4. Step 4: Simplify right side
    96,873x = 16,947,353,124
  5. Step 5: Solve for x
    x = 16,947,353,124/96,873
  6. Step 6: Final answer
    x = 174,944.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.