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Finding the Third Proportional to 56,150 and 123,064

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Solution

The third proportional to 56,150 and 123,064 is: 269,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,150 : 123,064 = 123,064 : x
  2. Step 2: Convert to fraction form
    56,150/123,064 = 123,064/x
  3. Step 3: Cross multiply
    56,150x = 123,064 × 123,064
  4. Step 4: Simplify right side
    56,150x = 15,144,748,096
  5. Step 5: Solve for x
    x = 15,144,748,096/56,150
  6. Step 6: Final answer
    x = 269,719.47

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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.