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Finding the Third Proportional to 85,404 and 123,030

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Solution

The third proportional to 85,404 and 123,030 is: 177,232.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,404 : 123,030 = 123,030 : x
  2. Step 2: Convert to fraction form
    85,404/123,030 = 123,030/x
  3. Step 3: Cross multiply
    85,404x = 123,030 × 123,030
  4. Step 4: Simplify right side
    85,404x = 15,136,380,900
  5. Step 5: Solve for x
    x = 15,136,380,900/85,404
  6. Step 6: Final answer
    x = 177,232.69

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.