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Finding the Third Proportional to 42,319 and 100,262

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Solution

The third proportional to 42,319 and 100,262 is: 237,540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,319 : 100,262 = 100,262 : x
  2. Step 2: Convert to fraction form
    42,319/100,262 = 100,262/x
  3. Step 3: Cross multiply
    42,319x = 100,262 × 100,262
  4. Step 4: Simplify right side
    42,319x = 10,052,468,644
  5. Step 5: Solve for x
    x = 10,052,468,644/42,319
  6. Step 6: Final answer
    x = 237,540.32

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.