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Finding the Third Proportional to 106,842 and 227,985

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Solution

The third proportional to 106,842 and 227,985 is: 486,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,842 : 227,985 = 227,985 : x
  2. Step 2: Convert to fraction form
    106,842/227,985 = 227,985/x
  3. Step 3: Cross multiply
    106,842x = 227,985 × 227,985
  4. Step 4: Simplify right side
    106,842x = 51,977,160,225
  5. Step 5: Solve for x
    x = 51,977,160,225/106,842
  6. Step 6: Final answer
    x = 486,486.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.