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Finding the Third Proportional to 38,253 and 83,172.75

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Solution

The third proportional to 38,253 and 83,172.75 is: 180,840.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,253 : 83,172.75 = 83,172.75 : x
  2. Step 2: Convert to fraction form
    38,253/83,172.75 = 83,172.75/x
  3. Step 3: Cross multiply
    38,253x = 83,172.75 × 83,172.75
  4. Step 4: Simplify right side
    38,253x = 6,917,706,342.56
  5. Step 5: Solve for x
    x = 6,917,706,342.56/38,253
  6. Step 6: Final answer
    x = 180,840.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.