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Finding the Third Proportional to 57,039 and 122,070

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Solution

The third proportional to 57,039 and 122,070 is: 261,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,039 : 122,070 = 122,070 : x
  2. Step 2: Convert to fraction form
    57,039/122,070 = 122,070/x
  3. Step 3: Cross multiply
    57,039x = 122,070 × 122,070
  4. Step 4: Simplify right side
    57,039x = 14,901,084,900
  5. Step 5: Solve for x
    x = 14,901,084,900/57,039
  6. Step 6: Final answer
    x = 261,243.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.