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Finding the Third Proportional to 96,880 and 130,192

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Solution

The third proportional to 96,880 and 130,192 is: 174,958.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,880 : 130,192 = 130,192 : x
  2. Step 2: Convert to fraction form
    96,880/130,192 = 130,192/x
  3. Step 3: Cross multiply
    96,880x = 130,192 × 130,192
  4. Step 4: Simplify right side
    96,880x = 16,949,956,864
  5. Step 5: Solve for x
    x = 16,949,956,864/96,880
  6. Step 6: Final answer
    x = 174,958.27

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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.