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Finding the Third Proportional to 105,537 and 225,836

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Solution

The third proportional to 105,537 and 225,836 is: 483,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,537 : 225,836 = 225,836 : x
  2. Step 2: Convert to fraction form
    105,537/225,836 = 225,836/x
  3. Step 3: Cross multiply
    105,537x = 225,836 × 225,836
  4. Step 4: Simplify right side
    105,537x = 51,001,898,896
  5. Step 5: Solve for x
    x = 51,001,898,896/105,537
  6. Step 6: Final answer
    x = 483,260.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.