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Finding the Third Proportional to 44,459 and 68,819

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Solution

The third proportional to 44,459 and 68,819 is: 106,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,459 : 68,819 = 68,819 : x
  2. Step 2: Convert to fraction form
    44,459/68,819 = 68,819/x
  3. Step 3: Cross multiply
    44,459x = 68,819 × 68,819
  4. Step 4: Simplify right side
    44,459x = 4,736,054,761
  5. Step 5: Solve for x
    x = 4,736,054,761/44,459
  6. Step 6: Final answer
    x = 106,526.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.