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Finding the Third Proportional to 58,206.94 and 127,591.88

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Solution

The third proportional to 58,206.94 and 127,591.88 is: 279,686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,206.94 : 127,591.88 = 127,591.88 : x
  2. Step 2: Convert to fraction form
    58,206.94/127,591.88 = 127,591.88/x
  3. Step 3: Cross multiply
    58,206.94x = 127,591.88 × 127,591.88
  4. Step 4: Simplify right side
    58,206.94x = 16,279,686,566.02
  5. Step 5: Solve for x
    x = 16,279,686,566.02/58,206.94
  6. Step 6: Final answer
    x = 279,686.36

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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.