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Finding the Third Proportional to 58,412.39 and 127,636.07

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Solution

The third proportional to 58,412.39 and 127,636.07 is: 278,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,412.39 : 127,636.07 = 127,636.07 : x
  2. Step 2: Convert to fraction form
    58,412.39/127,636.07 = 127,636.07/x
  3. Step 3: Cross multiply
    58,412.39x = 127,636.07 × 127,636.07
  4. Step 4: Simplify right side
    58,412.39x = 16,290,965,447.66
  5. Step 5: Solve for x
    x = 16,290,965,447.66/58,412.39
  6. Step 6: Final answer
    x = 278,895.71

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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.