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Finding the Third Proportional to 58,429.63 and 127,976.63

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Solution

The third proportional to 58,429.63 and 127,976.63 is: 280,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,429.63 : 127,976.63 = 127,976.63 : x
  2. Step 2: Convert to fraction form
    58,429.63/127,976.63 = 127,976.63/x
  3. Step 3: Cross multiply
    58,429.63x = 127,976.63 × 127,976.63
  4. Step 4: Simplify right side
    58,429.63x = 16,378,016,546.39
  5. Step 5: Solve for x
    x = 16,378,016,546.39/58,429.63
  6. Step 6: Final answer
    x = 280,303.30

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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.