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Finding the Third Proportional to 86,268 and 115,944

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Solution

The third proportional to 86,268 and 115,944 is: 155,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,268 : 115,944 = 115,944 : x
  2. Step 2: Convert to fraction form
    86,268/115,944 = 115,944/x
  3. Step 3: Cross multiply
    86,268x = 115,944 × 115,944
  4. Step 4: Simplify right side
    86,268x = 13,443,011,136
  5. Step 5: Solve for x
    x = 13,443,011,136/86,268
  6. Step 6: Final answer
    x = 155,828.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.