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Finding the Third Proportional to 103,664 and 155,577

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Solution

The third proportional to 103,664 and 155,577 is: 233,487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,664 : 155,577 = 155,577 : x
  2. Step 2: Convert to fraction form
    103,664/155,577 = 155,577/x
  3. Step 3: Cross multiply
    103,664x = 155,577 × 155,577
  4. Step 4: Simplify right side
    103,664x = 24,204,202,929
  5. Step 5: Solve for x
    x = 24,204,202,929/103,664
  6. Step 6: Final answer
    x = 233,487.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.