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Finding the Third Proportional to 65,042 and 141,871

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Solution

The third proportional to 65,042 and 141,871 is: 309,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,042 : 141,871 = 141,871 : x
  2. Step 2: Convert to fraction form
    65,042/141,871 = 141,871/x
  3. Step 3: Cross multiply
    65,042x = 141,871 × 141,871
  4. Step 4: Simplify right side
    65,042x = 20,127,380,641
  5. Step 5: Solve for x
    x = 20,127,380,641/65,042
  6. Step 6: Final answer
    x = 309,452.06

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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.