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Finding the Third Proportional to 58,496 and 127,960

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Solution

The third proportional to 58,496 and 127,960 is: 279,912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,496 : 127,960 = 127,960 : x
  2. Step 2: Convert to fraction form
    58,496/127,960 = 127,960/x
  3. Step 3: Cross multiply
    58,496x = 127,960 × 127,960
  4. Step 4: Simplify right side
    58,496x = 16,373,761,600
  5. Step 5: Solve for x
    x = 16,373,761,600/58,496
  6. Step 6: Final answer
    x = 279,912.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.