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Finding the Third Proportional to 122,871.94 and 260,612.44

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Solution

The third proportional to 122,871.94 and 260,612.44 is: 552,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,871.94 : 260,612.44 = 260,612.44 : x
  2. Step 2: Convert to fraction form
    122,871.94/260,612.44 = 260,612.44/x
  3. Step 3: Cross multiply
    122,871.94x = 260,612.44 × 260,612.44
  4. Step 4: Simplify right side
    122,871.94x = 67,918,842,579.69
  5. Step 5: Solve for x
    x = 67,918,842,579.69/122,871.94
  6. Step 6: Final answer
    x = 552,761.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.