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Finding the Third Proportional to 42,069 and 98,307

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Solution

The third proportional to 42,069 and 98,307 is: 229,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,069 : 98,307 = 98,307 : x
  2. Step 2: Convert to fraction form
    42,069/98,307 = 98,307/x
  3. Step 3: Cross multiply
    42,069x = 98,307 × 98,307
  4. Step 4: Simplify right side
    42,069x = 9,664,266,249
  5. Step 5: Solve for x
    x = 9,664,266,249/42,069
  6. Step 6: Final answer
    x = 229,724.17

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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.