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Finding the Third Proportional to 122,366.25 and 172,319.63

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Solution

The third proportional to 122,366.25 and 172,319.63 is: 242,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,366.25 : 172,319.63 = 172,319.63 : x
  2. Step 2: Convert to fraction form
    122,366.25/172,319.63 = 172,319.63/x
  3. Step 3: Cross multiply
    122,366.25x = 172,319.63 × 172,319.63
  4. Step 4: Simplify right side
    122,366.25x = 29,694,053,160.14
  5. Step 5: Solve for x
    x = 29,694,053,160.14/122,366.25
  6. Step 6: Final answer
    x = 242,665.38

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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.