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Finding the Third Proportional to 122,109.75 and 260,349

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Solution

The third proportional to 122,109.75 and 260,349 is: 555,087.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,109.75 : 260,349 = 260,349 : x
  2. Step 2: Convert to fraction form
    122,109.75/260,349 = 260,349/x
  3. Step 3: Cross multiply
    122,109.75x = 260,349 × 260,349
  4. Step 4: Simplify right side
    122,109.75x = 67,781,601,801
  5. Step 5: Solve for x
    x = 67,781,601,801/122,109.75
  6. Step 6: Final answer
    x = 555,087.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.