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Finding the Third Proportional to 86,018 and 130,324

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Solution

The third proportional to 86,018 and 130,324 is: 197,451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,018 : 130,324 = 130,324 : x
  2. Step 2: Convert to fraction form
    86,018/130,324 = 130,324/x
  3. Step 3: Cross multiply
    86,018x = 130,324 × 130,324
  4. Step 4: Simplify right side
    86,018x = 16,984,344,976
  5. Step 5: Solve for x
    x = 16,984,344,976/86,018
  6. Step 6: Final answer
    x = 197,451.06

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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.