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Finding the Third Proportional to 37,250 and 77,614

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Solution

The third proportional to 37,250 and 77,614 is: 161,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,250 : 77,614 = 77,614 : x
  2. Step 2: Convert to fraction form
    37,250/77,614 = 77,614/x
  3. Step 3: Cross multiply
    37,250x = 77,614 × 77,614
  4. Step 4: Simplify right side
    37,250x = 6,023,932,996
  5. Step 5: Solve for x
    x = 6,023,932,996/37,250
  6. Step 6: Final answer
    x = 161,716.32

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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.