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Finding the Third Proportional to 58,309.88 and 127,175.06

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Solution

The third proportional to 58,309.88 and 127,175.06 is: 277,371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,309.88 : 127,175.06 = 127,175.06 : x
  2. Step 2: Convert to fraction form
    58,309.88/127,175.06 = 127,175.06/x
  3. Step 3: Cross multiply
    58,309.88x = 127,175.06 × 127,175.06
  4. Step 4: Simplify right side
    58,309.88x = 16,173,496,521.88
  5. Step 5: Solve for x
    x = 16,173,496,521.88/58,309.88
  6. Step 6: Final answer
    x = 277,371.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.