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Finding the Third Proportional to 75,617 and 165,706

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Solution

The third proportional to 75,617 and 165,706 is: 363,125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,617 : 165,706 = 165,706 : x
  2. Step 2: Convert to fraction form
    75,617/165,706 = 165,706/x
  3. Step 3: Cross multiply
    75,617x = 165,706 × 165,706
  4. Step 4: Simplify right side
    75,617x = 27,458,478,436
  5. Step 5: Solve for x
    x = 27,458,478,436/75,617
  6. Step 6: Final answer
    x = 363,125.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.