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Finding the Third Proportional to 86,116 and 130,997

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Solution

The third proportional to 86,116 and 130,997 is: 199,268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,116 : 130,997 = 130,997 : x
  2. Step 2: Convert to fraction form
    86,116/130,997 = 130,997/x
  3. Step 3: Cross multiply
    86,116x = 130,997 × 130,997
  4. Step 4: Simplify right side
    86,116x = 17,160,214,009
  5. Step 5: Solve for x
    x = 17,160,214,009/86,116
  6. Step 6: Final answer
    x = 199,268.59

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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.