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Finding the Third Proportional to 58,122.56 and 125,539.88

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Solution

The third proportional to 58,122.56 and 125,539.88 is: 271,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,122.56 : 125,539.88 = 125,539.88 : x
  2. Step 2: Convert to fraction form
    58,122.56/125,539.88 = 125,539.88/x
  3. Step 3: Cross multiply
    58,122.56x = 125,539.88 × 125,539.88
  4. Step 4: Simplify right side
    58,122.56x = 15,760,260,215.02
  5. Step 5: Solve for x
    x = 15,760,260,215.02/58,122.56
  6. Step 6: Final answer
    x = 271,155.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.