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Finding the Third Proportional to 42,068 and 98,305

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Solution

The third proportional to 42,068 and 98,305 is: 229,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,068 : 98,305 = 98,305 : x
  2. Step 2: Convert to fraction form
    42,068/98,305 = 98,305/x
  3. Step 3: Cross multiply
    42,068x = 98,305 × 98,305
  4. Step 4: Simplify right side
    42,068x = 9,663,873,025
  5. Step 5: Solve for x
    x = 9,663,873,025/42,068
  6. Step 6: Final answer
    x = 229,720.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.