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Finding the Third Proportional to 59,002 and 127,396

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Solution

The third proportional to 59,002 and 127,396 is: 275,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,002 : 127,396 = 127,396 : x
  2. Step 2: Convert to fraction form
    59,002/127,396 = 127,396/x
  3. Step 3: Cross multiply
    59,002x = 127,396 × 127,396
  4. Step 4: Simplify right side
    59,002x = 16,229,740,816
  5. Step 5: Solve for x
    x = 16,229,740,816/59,002
  6. Step 6: Final answer
    x = 275,071.03

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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.