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Finding the Third Proportional to 38,403 and 83,205

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Solution

The third proportional to 38,403 and 83,205 is: 180,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,403 : 83,205 = 83,205 : x
  2. Step 2: Convert to fraction form
    38,403/83,205 = 83,205/x
  3. Step 3: Cross multiply
    38,403x = 83,205 × 83,205
  4. Step 4: Simplify right side
    38,403x = 6,923,072,025
  5. Step 5: Solve for x
    x = 6,923,072,025/38,403
  6. Step 6: Final answer
    x = 180,274.25

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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.