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Finding the Third Proportional to 122,100 and 253,554

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Solution

The third proportional to 122,100 and 253,554 is: 526,532.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,100 : 253,554 = 253,554 : x
  2. Step 2: Convert to fraction form
    122,100/253,554 = 253,554/x
  3. Step 3: Cross multiply
    122,100x = 253,554 × 253,554
  4. Step 4: Simplify right side
    122,100x = 64,289,630,916
  5. Step 5: Solve for x
    x = 64,289,630,916/122,100
  6. Step 6: Final answer
    x = 526,532.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.