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Finding the Third Proportional to 44,526 and 68,469

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Solution

The third proportional to 44,526 and 68,469 is: 105,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,526 : 68,469 = 68,469 : x
  2. Step 2: Convert to fraction form
    44,526/68,469 = 68,469/x
  3. Step 3: Cross multiply
    44,526x = 68,469 × 68,469
  4. Step 4: Simplify right side
    44,526x = 4,688,003,961
  5. Step 5: Solve for x
    x = 4,688,003,961/44,526
  6. Step 6: Final answer
    x = 105,286.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.