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Finding the Third Proportional to 103,418 and 165,926

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Solution

The third proportional to 103,418 and 165,926 is: 266,215.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,418 : 165,926 = 165,926 : x
  2. Step 2: Convert to fraction form
    103,418/165,926 = 165,926/x
  3. Step 3: Cross multiply
    103,418x = 165,926 × 165,926
  4. Step 4: Simplify right side
    103,418x = 27,531,437,476
  5. Step 5: Solve for x
    x = 27,531,437,476/103,418
  6. Step 6: Final answer
    x = 266,215.14

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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.