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Finding the Third Proportional to 42,267 and 91,303

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Solution

The third proportional to 42,267 and 91,303 is: 197,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,267 : 91,303 = 91,303 : x
  2. Step 2: Convert to fraction form
    42,267/91,303 = 91,303/x
  3. Step 3: Cross multiply
    42,267x = 91,303 × 91,303
  4. Step 4: Simplify right side
    42,267x = 8,336,237,809
  5. Step 5: Solve for x
    x = 8,336,237,809/42,267
  6. Step 6: Final answer
    x = 197,228.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.