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Finding the Third Proportional to 42,267 and 98,284.50

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Solution

The third proportional to 42,267 and 98,284.50 is: 228,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,267 : 98,284.50 = 98,284.50 : x
  2. Step 2: Convert to fraction form
    42,267/98,284.50 = 98,284.50/x
  3. Step 3: Cross multiply
    42,267x = 98,284.50 × 98,284.50
  4. Step 4: Simplify right side
    42,267x = 9,659,842,940.25
  5. Step 5: Solve for x
    x = 9,659,842,940.25/42,267
  6. Step 6: Final answer
    x = 228,543.38

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.