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Finding the Third Proportional to 65,167 and 141,997

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Solution

The third proportional to 65,167 and 141,997 is: 309,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,167 : 141,997 = 141,997 : x
  2. Step 2: Convert to fraction form
    65,167/141,997 = 141,997/x
  3. Step 3: Cross multiply
    65,167x = 141,997 × 141,997
  4. Step 4: Simplify right side
    65,167x = 20,163,148,009
  5. Step 5: Solve for x
    x = 20,163,148,009/65,167
  6. Step 6: Final answer
    x = 309,407.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.