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Finding the Third Proportional to 65,587 and 144,956

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Solution

The third proportional to 65,587 and 144,956 is: 320,372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,587 : 144,956 = 144,956 : x
  2. Step 2: Convert to fraction form
    65,587/144,956 = 144,956/x
  3. Step 3: Cross multiply
    65,587x = 144,956 × 144,956
  4. Step 4: Simplify right side
    65,587x = 21,012,241,936
  5. Step 5: Solve for x
    x = 21,012,241,936/65,587
  6. Step 6: Final answer
    x = 320,372.05

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.