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Finding the Third Proportional to 35,194 and 73,291

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Solution

The third proportional to 35,194 and 73,291 is: 152,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,194 : 73,291 = 73,291 : x
  2. Step 2: Convert to fraction form
    35,194/73,291 = 73,291/x
  3. Step 3: Cross multiply
    35,194x = 73,291 × 73,291
  4. Step 4: Simplify right side
    35,194x = 5,371,570,681
  5. Step 5: Solve for x
    x = 5,371,570,681/35,194
  6. Step 6: Final answer
    x = 152,627.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.