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Finding the Third Proportional to 58,041 and 127,018.13

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Solution

The third proportional to 58,041 and 127,018.13 is: 277,969.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,041 : 127,018.13 = 127,018.13 : x
  2. Step 2: Convert to fraction form
    58,041/127,018.13 = 127,018.13/x
  3. Step 3: Cross multiply
    58,041x = 127,018.13 × 127,018.13
  4. Step 4: Simplify right side
    58,041x = 16,133,604,078.52
  5. Step 5: Solve for x
    x = 16,133,604,078.52/58,041
  6. Step 6: Final answer
    x = 277,969.09

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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.