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Finding the Third Proportional to 56,317 and 123,477

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Solution

The third proportional to 56,317 and 123,477 is: 270,727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,317 : 123,477 = 123,477 : x
  2. Step 2: Convert to fraction form
    56,317/123,477 = 123,477/x
  3. Step 3: Cross multiply
    56,317x = 123,477 × 123,477
  4. Step 4: Simplify right side
    56,317x = 15,246,569,529
  5. Step 5: Solve for x
    x = 15,246,569,529/56,317
  6. Step 6: Final answer
    x = 270,727.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.