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Finding the Third Proportional to 44,028 and 95,231

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Solution

The third proportional to 44,028 and 95,231 is: 205,981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,028 : 95,231 = 95,231 : x
  2. Step 2: Convert to fraction form
    44,028/95,231 = 95,231/x
  3. Step 3: Cross multiply
    44,028x = 95,231 × 95,231
  4. Step 4: Simplify right side
    44,028x = 9,068,943,361
  5. Step 5: Solve for x
    x = 9,068,943,361/44,028
  6. Step 6: Final answer
    x = 205,981.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.