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Finding the Third Proportional to 56,864 and 122,368

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Solution

The third proportional to 56,864 and 122,368 is: 263,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,864 : 122,368 = 122,368 : x
  2. Step 2: Convert to fraction form
    56,864/122,368 = 122,368/x
  3. Step 3: Cross multiply
    56,864x = 122,368 × 122,368
  4. Step 4: Simplify right side
    56,864x = 14,973,927,424
  5. Step 5: Solve for x
    x = 14,973,927,424/56,864
  6. Step 6: Final answer
    x = 263,328.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.