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Finding the Third Proportional to 105,537 and 227,913

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Solution

The third proportional to 105,537 and 227,913 is: 492,190.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,537 : 227,913 = 227,913 : x
  2. Step 2: Convert to fraction form
    105,537/227,913 = 227,913/x
  3. Step 3: Cross multiply
    105,537x = 227,913 × 227,913
  4. Step 4: Simplify right side
    105,537x = 51,944,335,569
  5. Step 5: Solve for x
    x = 51,944,335,569/105,537
  6. Step 6: Final answer
    x = 492,190.75

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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.