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Finding the Third Proportional to 103,659 and 226,056

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Solution

The third proportional to 103,659 and 226,056 is: 492,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659 : 226,056 = 226,056 : x
  2. Step 2: Convert to fraction form
    103,659/226,056 = 226,056/x
  3. Step 3: Cross multiply
    103,659x = 226,056 × 226,056
  4. Step 4: Simplify right side
    103,659x = 51,101,315,136
  5. Step 5: Solve for x
    x = 51,101,315,136/103,659
  6. Step 6: Final answer
    x = 492,975.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.