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Finding the Third Proportional to 71,361 and 102,627

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Solution

The third proportional to 71,361 and 102,627 is: 147,591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,361 : 102,627 = 102,627 : x
  2. Step 2: Convert to fraction form
    71,361/102,627 = 102,627/x
  3. Step 3: Cross multiply
    71,361x = 102,627 × 102,627
  4. Step 4: Simplify right side
    71,361x = 10,532,301,129
  5. Step 5: Solve for x
    x = 10,532,301,129/71,361
  6. Step 6: Final answer
    x = 147,591.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.