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Finding the Third Proportional to 123,841 and 186,035

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Solution

The third proportional to 123,841 and 186,035 is: 279,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,841 : 186,035 = 186,035 : x
  2. Step 2: Convert to fraction form
    123,841/186,035 = 186,035/x
  3. Step 3: Cross multiply
    123,841x = 186,035 × 186,035
  4. Step 4: Simplify right side
    123,841x = 34,609,021,225
  5. Step 5: Solve for x
    x = 34,609,021,225/123,841
  6. Step 6: Final answer
    x = 279,463.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.