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Finding the Third Proportional to 58,327.31 and 127,954.13

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Solution

The third proportional to 58,327.31 and 127,954.13 is: 280,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,327.31 : 127,954.13 = 127,954.13 : x
  2. Step 2: Convert to fraction form
    58,327.31/127,954.13 = 127,954.13/x
  3. Step 3: Cross multiply
    58,327.31x = 127,954.13 × 127,954.13
  4. Step 4: Simplify right side
    58,327.31x = 16,372,258,104.52
  5. Step 5: Solve for x
    x = 16,372,258,104.52/58,327.31
  6. Step 6: Final answer
    x = 280,696.25

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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.