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Finding the Third Proportional to 86,000 and 130,298

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Solution

The third proportional to 86,000 and 130,298 is: 197,413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,000 : 130,298 = 130,298 : x
  2. Step 2: Convert to fraction form
    86,000/130,298 = 130,298/x
  3. Step 3: Cross multiply
    86,000x = 130,298 × 130,298
  4. Step 4: Simplify right side
    86,000x = 16,977,568,804
  5. Step 5: Solve for x
    x = 16,977,568,804/86,000
  6. Step 6: Final answer
    x = 197,413.59

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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.