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Finding the Third Proportional to 65,128 and 141,848

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Solution

The third proportional to 65,128 and 141,848 is: 308,943.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,128 : 141,848 = 141,848 : x
  2. Step 2: Convert to fraction form
    65,128/141,848 = 141,848/x
  3. Step 3: Cross multiply
    65,128x = 141,848 × 141,848
  4. Step 4: Simplify right side
    65,128x = 20,120,855,104
  5. Step 5: Solve for x
    x = 20,120,855,104/65,128
  6. Step 6: Final answer
    x = 308,943.24

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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.