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Finding the Third Proportional to 56,317 and 122,436

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Solution

The third proportional to 56,317 and 122,436 is: 266,182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,317 : 122,436 = 122,436 : x
  2. Step 2: Convert to fraction form
    56,317/122,436 = 122,436/x
  3. Step 3: Cross multiply
    56,317x = 122,436 × 122,436
  4. Step 4: Simplify right side
    56,317x = 14,990,574,096
  5. Step 5: Solve for x
    x = 14,990,574,096/56,317
  6. Step 6: Final answer
    x = 266,182.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.