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Finding the Third Proportional to 86,088 and 126,324

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Solution

The third proportional to 86,088 and 126,324 is: 185,365.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,088 : 126,324 = 126,324 : x
  2. Step 2: Convert to fraction form
    86,088/126,324 = 126,324/x
  3. Step 3: Cross multiply
    86,088x = 126,324 × 126,324
  4. Step 4: Simplify right side
    86,088x = 15,957,752,976
  5. Step 5: Solve for x
    x = 15,957,752,976/86,088
  6. Step 6: Final answer
    x = 185,365.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.