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Finding the Third Proportional to 65,386 and 141,608

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Solution

The third proportional to 65,386 and 141,608 is: 306,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,386 : 141,608 = 141,608 : x
  2. Step 2: Convert to fraction form
    65,386/141,608 = 141,608/x
  3. Step 3: Cross multiply
    65,386x = 141,608 × 141,608
  4. Step 4: Simplify right side
    65,386x = 20,052,825,664
  5. Step 5: Solve for x
    x = 20,052,825,664/65,386
  6. Step 6: Final answer
    x = 306,683.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.