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Finding the Third Proportional to 32,249 and 66,777

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Solution

The third proportional to 32,249 and 66,777 is: 138,273.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,249 : 66,777 = 66,777 : x
  2. Step 2: Convert to fraction form
    32,249/66,777 = 66,777/x
  3. Step 3: Cross multiply
    32,249x = 66,777 × 66,777
  4. Step 4: Simplify right side
    32,249x = 4,459,167,729
  5. Step 5: Solve for x
    x = 4,459,167,729/32,249
  6. Step 6: Final answer
    x = 138,273.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.