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Finding the Third Proportional to 59,369 and 127,954

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Solution

The third proportional to 59,369 and 127,954 is: 275,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,369 : 127,954 = 127,954 : x
  2. Step 2: Convert to fraction form
    59,369/127,954 = 127,954/x
  3. Step 3: Cross multiply
    59,369x = 127,954 × 127,954
  4. Step 4: Simplify right side
    59,369x = 16,372,226,116
  5. Step 5: Solve for x
    x = 16,372,226,116/59,369
  6. Step 6: Final answer
    x = 275,770.62

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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.