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Finding the Third Proportional to 45,284 and 96,074

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Solution

The third proportional to 45,284 and 96,074 is: 203,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,284 : 96,074 = 96,074 : x
  2. Step 2: Convert to fraction form
    45,284/96,074 = 96,074/x
  3. Step 3: Cross multiply
    45,284x = 96,074 × 96,074
  4. Step 4: Simplify right side
    45,284x = 9,230,213,476
  5. Step 5: Solve for x
    x = 9,230,213,476/45,284
  6. Step 6: Final answer
    x = 203,829.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.