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Finding the Third Proportional to 58,202.50 and 125,679.50

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Solution

The third proportional to 58,202.50 and 125,679.50 is: 271,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,202.50 : 125,679.50 = 125,679.50 : x
  2. Step 2: Convert to fraction form
    58,202.50/125,679.50 = 125,679.50/x
  3. Step 3: Cross multiply
    58,202.50x = 125,679.50 × 125,679.50
  4. Step 4: Simplify right side
    58,202.50x = 15,795,336,720.25
  5. Step 5: Solve for x
    x = 15,795,336,720.25/58,202.50
  6. Step 6: Final answer
    x = 271,385.88

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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.