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Finding the Third Proportional to 122,906 and 265,494

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Solution

The third proportional to 122,906 and 265,494 is: 573,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,906 : 265,494 = 265,494 : x
  2. Step 2: Convert to fraction form
    122,906/265,494 = 265,494/x
  3. Step 3: Cross multiply
    122,906x = 265,494 × 265,494
  4. Step 4: Simplify right side
    122,906x = 70,487,064,036
  5. Step 5: Solve for x
    x = 70,487,064,036/122,906
  6. Step 6: Final answer
    x = 573,503.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.