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Finding the Third Proportional to 42,554 and 67,351

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Solution

The third proportional to 42,554 and 67,351 is: 106,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,554 : 67,351 = 67,351 : x
  2. Step 2: Convert to fraction form
    42,554/67,351 = 67,351/x
  3. Step 3: Cross multiply
    42,554x = 67,351 × 67,351
  4. Step 4: Simplify right side
    42,554x = 4,536,157,201
  5. Step 5: Solve for x
    x = 4,536,157,201/42,554
  6. Step 6: Final answer
    x = 106,597.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.