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Finding the Third Proportional to 50,088 and 117,064

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Solution

The third proportional to 50,088 and 117,064 is: 273,598.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,088 : 117,064 = 117,064 : x
  2. Step 2: Convert to fraction form
    50,088/117,064 = 117,064/x
  3. Step 3: Cross multiply
    50,088x = 117,064 × 117,064
  4. Step 4: Simplify right side
    50,088x = 13,703,980,096
  5. Step 5: Solve for x
    x = 13,703,980,096/50,088
  6. Step 6: Final answer
    x = 273,598.07

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.