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Finding the Third Proportional to 86,254 and 130,936

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Solution

The third proportional to 86,254 and 130,936 is: 198,764.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,254 : 130,936 = 130,936 : x
  2. Step 2: Convert to fraction form
    86,254/130,936 = 130,936/x
  3. Step 3: Cross multiply
    86,254x = 130,936 × 130,936
  4. Step 4: Simplify right side
    86,254x = 17,144,236,096
  5. Step 5: Solve for x
    x = 17,144,236,096/86,254
  6. Step 6: Final answer
    x = 198,764.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.