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Finding the Third Proportional to 58,043 and 127,022

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Solution

The third proportional to 58,043 and 127,022 is: 277,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,043 : 127,022 = 127,022 : x
  2. Step 2: Convert to fraction form
    58,043/127,022 = 127,022/x
  3. Step 3: Cross multiply
    58,043x = 127,022 × 127,022
  4. Step 4: Simplify right side
    58,043x = 16,134,588,484
  5. Step 5: Solve for x
    x = 16,134,588,484/58,043
  6. Step 6: Final answer
    x = 277,976.47

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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.