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Finding the Third Proportional to 86,264 and 130,852

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Solution

The third proportional to 86,264 and 130,852 is: 198,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,264 : 130,852 = 130,852 : x
  2. Step 2: Convert to fraction form
    86,264/130,852 = 130,852/x
  3. Step 3: Cross multiply
    86,264x = 130,852 × 130,852
  4. Step 4: Simplify right side
    86,264x = 17,122,245,904
  5. Step 5: Solve for x
    x = 17,122,245,904/86,264
  6. Step 6: Final answer
    x = 198,486.57

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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.