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Finding the Third Proportional to 65,956 and 146,140

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Solution

The third proportional to 65,956 and 146,140 is: 323,805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,956 : 146,140 = 146,140 : x
  2. Step 2: Convert to fraction form
    65,956/146,140 = 146,140/x
  3. Step 3: Cross multiply
    65,956x = 146,140 × 146,140
  4. Step 4: Simplify right side
    65,956x = 21,356,899,600
  5. Step 5: Solve for x
    x = 21,356,899,600/65,956
  6. Step 6: Final answer
    x = 323,805.26

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.