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Finding the Third Proportional to 103,411 and 165,914

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Solution

The third proportional to 103,411 and 165,914 is: 266,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,411 : 165,914 = 165,914 : x
  2. Step 2: Convert to fraction form
    103,411/165,914 = 165,914/x
  3. Step 3: Cross multiply
    103,411x = 165,914 × 165,914
  4. Step 4: Simplify right side
    103,411x = 27,527,455,396
  5. Step 5: Solve for x
    x = 27,527,455,396/103,411
  6. Step 6: Final answer
    x = 266,194.65

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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.