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Finding the Third Proportional to 127,537.88 and 278,039.25

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Solution

The third proportional to 127,537.88 and 278,039.25 is: 606,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,537.88 : 278,039.25 = 278,039.25 : x
  2. Step 2: Convert to fraction form
    127,537.88/278,039.25 = 278,039.25/x
  3. Step 3: Cross multiply
    127,537.88x = 278,039.25 × 278,039.25
  4. Step 4: Simplify right side
    127,537.88x = 77,305,824,540.56
  5. Step 5: Solve for x
    x = 77,305,824,540.56/127,537.88
  6. Step 6: Final answer
    x = 606,140.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.