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Finding the Third Proportional to 65,046 and 141,996

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Solution

The third proportional to 65,046 and 141,996 is: 309,978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,046 : 141,996 = 141,996 : x
  2. Step 2: Convert to fraction form
    65,046/141,996 = 141,996/x
  3. Step 3: Cross multiply
    65,046x = 141,996 × 141,996
  4. Step 4: Simplify right side
    65,046x = 20,162,864,016
  5. Step 5: Solve for x
    x = 20,162,864,016/65,046
  6. Step 6: Final answer
    x = 309,978.54

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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.