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Finding the Third Proportional to 103,426 and 165,938

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Solution

The third proportional to 103,426 and 165,938 is: 266,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,426 : 165,938 = 165,938 : x
  2. Step 2: Convert to fraction form
    103,426/165,938 = 165,938/x
  3. Step 3: Cross multiply
    103,426x = 165,938 × 165,938
  4. Step 4: Simplify right side
    103,426x = 27,535,419,844
  5. Step 5: Solve for x
    x = 27,535,419,844/103,426
  6. Step 6: Final answer
    x = 266,233.05

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.