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Finding the Third Proportional to 58,539.75 and 138,143.25

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Solution

The third proportional to 58,539.75 and 138,143.25 is: 325,993.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,539.75 : 138,143.25 = 138,143.25 : x
  2. Step 2: Convert to fraction form
    58,539.75/138,143.25 = 138,143.25/x
  3. Step 3: Cross multiply
    58,539.75x = 138,143.25 × 138,143.25
  4. Step 4: Simplify right side
    58,539.75x = 19,083,557,520.56
  5. Step 5: Solve for x
    x = 19,083,557,520.56/58,539.75
  6. Step 6: Final answer
    x = 325,993.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.