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Finding the Third Proportional to 122,322.75 and 172,257.75

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Solution

The third proportional to 122,322.75 and 172,257.75 is: 242,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,322.75 : 172,257.75 = 172,257.75 : x
  2. Step 2: Convert to fraction form
    122,322.75/172,257.75 = 172,257.75/x
  3. Step 3: Cross multiply
    122,322.75x = 172,257.75 × 172,257.75
  4. Step 4: Simplify right side
    122,322.75x = 29,672,732,435.06
  5. Step 5: Solve for x
    x = 29,672,732,435.06/122,322.75
  6. Step 6: Final answer
    x = 242,577.38

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.