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Finding the Third Proportional to 96,865 and 130,170

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Solution

The third proportional to 96,865 and 130,170 is: 174,926.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,865 : 130,170 = 130,170 : x
  2. Step 2: Convert to fraction form
    96,865/130,170 = 130,170/x
  3. Step 3: Cross multiply
    96,865x = 130,170 × 130,170
  4. Step 4: Simplify right side
    96,865x = 16,944,228,900
  5. Step 5: Solve for x
    x = 16,944,228,900/96,865
  6. Step 6: Final answer
    x = 174,926.23

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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.