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Finding the Third Proportional to 122,536 and 250,248

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Solution

The third proportional to 122,536 and 250,248 is: 511,066.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,536 : 250,248 = 250,248 : x
  2. Step 2: Convert to fraction form
    122,536/250,248 = 250,248/x
  3. Step 3: Cross multiply
    122,536x = 250,248 × 250,248
  4. Step 4: Simplify right side
    122,536x = 62,624,061,504
  5. Step 5: Solve for x
    x = 62,624,061,504/122,536
  6. Step 6: Final answer
    x = 511,066.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.