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Finding the Third Proportional to 59,122 and 127,622

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Solution

The third proportional to 59,122 and 127,622 is: 275,487.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,122 : 127,622 = 127,622 : x
  2. Step 2: Convert to fraction form
    59,122/127,622 = 127,622/x
  3. Step 3: Cross multiply
    59,122x = 127,622 × 127,622
  4. Step 4: Simplify right side
    59,122x = 16,287,374,884
  5. Step 5: Solve for x
    x = 16,287,374,884/59,122
  6. Step 6: Final answer
    x = 275,487.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.