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Finding the Third Proportional to 84,288 and 113,104

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Solution

The third proportional to 84,288 and 113,104 is: 151,771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,288 : 113,104 = 113,104 : x
  2. Step 2: Convert to fraction form
    84,288/113,104 = 113,104/x
  3. Step 3: Cross multiply
    84,288x = 113,104 × 113,104
  4. Step 4: Simplify right side
    84,288x = 12,792,514,816
  5. Step 5: Solve for x
    x = 12,792,514,816/84,288
  6. Step 6: Final answer
    x = 151,771.48

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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.