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Finding the Third Proportional to 65,577 and 135,817.75

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Solution

The third proportional to 65,577 and 135,817.75 is: 281,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,577 : 135,817.75 = 135,817.75 : x
  2. Step 2: Convert to fraction form
    65,577/135,817.75 = 135,817.75/x
  3. Step 3: Cross multiply
    65,577x = 135,817.75 × 135,817.75
  4. Step 4: Simplify right side
    65,577x = 18,446,461,215.06
  5. Step 5: Solve for x
    x = 18,446,461,215.06/65,577
  6. Step 6: Final answer
    x = 281,294.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.