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Finding the Third Proportional to 44,120 and 86,026

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Solution

The third proportional to 44,120 and 86,026 is: 167,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,120 : 86,026 = 86,026 : x
  2. Step 2: Convert to fraction form
    44,120/86,026 = 86,026/x
  3. Step 3: Cross multiply
    44,120x = 86,026 × 86,026
  4. Step 4: Simplify right side
    44,120x = 7,400,472,676
  5. Step 5: Solve for x
    x = 7,400,472,676/44,120
  6. Step 6: Final answer
    x = 167,735.10

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.