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Finding the Third Proportional to 56,098 and 122,756

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Solution

The third proportional to 56,098 and 122,756 is: 268,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,098 : 122,756 = 122,756 : x
  2. Step 2: Convert to fraction form
    56,098/122,756 = 122,756/x
  3. Step 3: Cross multiply
    56,098x = 122,756 × 122,756
  4. Step 4: Simplify right side
    56,098x = 15,069,035,536
  5. Step 5: Solve for x
    x = 15,069,035,536/56,098
  6. Step 6: Final answer
    x = 268,619.84

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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.