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Finding the Third Proportional to 56,136 and 124,734

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Solution

The third proportional to 56,136 and 124,734 is: 277,158.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,136 : 124,734 = 124,734 : x
  2. Step 2: Convert to fraction form
    56,136/124,734 = 124,734/x
  3. Step 3: Cross multiply
    56,136x = 124,734 × 124,734
  4. Step 4: Simplify right side
    56,136x = 15,558,570,756
  5. Step 5: Solve for x
    x = 15,558,570,756/56,136
  6. Step 6: Final answer
    x = 277,158.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.