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Finding the Third Proportional to 58,239.88 and 127,022.63

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Solution

The third proportional to 58,239.88 and 127,022.63 is: 277,039.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,239.88 : 127,022.63 = 127,022.63 : x
  2. Step 2: Convert to fraction form
    58,239.88/127,022.63 = 127,022.63/x
  3. Step 3: Cross multiply
    58,239.88x = 127,022.63 × 127,022.63
  4. Step 4: Simplify right side
    58,239.88x = 16,134,747,261.89
  5. Step 5: Solve for x
    x = 16,134,747,261.89/58,239.88
  6. Step 6: Final answer
    x = 277,039.52

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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.