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Finding the Third Proportional to 122,792.63 and 271,393.50

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Solution

The third proportional to 122,792.63 and 271,393.50 is: 599,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,792.63 : 271,393.50 = 271,393.50 : x
  2. Step 2: Convert to fraction form
    122,792.63/271,393.50 = 271,393.50/x
  3. Step 3: Cross multiply
    122,792.63x = 271,393.50 × 271,393.50
  4. Step 4: Simplify right side
    122,792.63x = 73,654,431,842.25
  5. Step 5: Solve for x
    x = 73,654,431,842.25/122,792.63
  6. Step 6: Final answer
    x = 599,827.81

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.