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Finding the Third Proportional to 58,043.25 and 127,019.81

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Solution

The third proportional to 58,043.25 and 127,019.81 is: 277,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,043.25 : 127,019.81 = 127,019.81 : x
  2. Step 2: Convert to fraction form
    58,043.25/127,019.81 = 127,019.81/x
  3. Step 3: Cross multiply
    58,043.25x = 127,019.81 × 127,019.81
  4. Step 4: Simplify right side
    58,043.25x = 16,134,032,767.54
  5. Step 5: Solve for x
    x = 16,134,032,767.54/58,043.25
  6. Step 6: Final answer
    x = 277,965.70

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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.