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Finding the Third Proportional to 58,980 and 127,932

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Solution

The third proportional to 58,980 and 127,932 is: 277,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,980 : 127,932 = 127,932 : x
  2. Step 2: Convert to fraction form
    58,980/127,932 = 127,932/x
  3. Step 3: Cross multiply
    58,980x = 127,932 × 127,932
  4. Step 4: Simplify right side
    58,980x = 16,366,596,624
  5. Step 5: Solve for x
    x = 16,366,596,624/58,980
  6. Step 6: Final answer
    x = 277,494.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.