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Finding the Third Proportional to 35,194 and 74,706

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Solution

The third proportional to 35,194 and 74,706 is: 158,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,194 : 74,706 = 74,706 : x
  2. Step 2: Convert to fraction form
    35,194/74,706 = 74,706/x
  3. Step 3: Cross multiply
    35,194x = 74,706 × 74,706
  4. Step 4: Simplify right side
    35,194x = 5,580,986,436
  5. Step 5: Solve for x
    x = 5,580,986,436/35,194
  6. Step 6: Final answer
    x = 158,577.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.