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Finding the Third Proportional to 122,346.75 and 172,294.50

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Solution

The third proportional to 122,346.75 and 172,294.50 is: 242,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,346.75 : 172,294.50 = 172,294.50 : x
  2. Step 2: Convert to fraction form
    122,346.75/172,294.50 = 172,294.50/x
  3. Step 3: Cross multiply
    122,346.75x = 172,294.50 × 172,294.50
  4. Step 4: Simplify right side
    122,346.75x = 29,685,394,730.25
  5. Step 5: Solve for x
    x = 29,685,394,730.25/122,346.75
  6. Step 6: Final answer
    x = 242,633.29

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Why These Related Problems?

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