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Finding the Third Proportional to 125,724.02 and 272,735.86

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Solution

The third proportional to 125,724.02 and 272,735.86 is: 591,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,724.02 : 272,735.86 = 272,735.86 : x
  2. Step 2: Convert to fraction form
    125,724.02/272,735.86 = 272,735.86/x
  3. Step 3: Cross multiply
    125,724.02x = 272,735.86 × 272,735.86
  4. Step 4: Simplify right side
    125,724.02x = 74,384,848,989.02
  5. Step 5: Solve for x
    x = 74,384,848,989.02/125,724.02
  6. Step 6: Final answer
    x = 591,651.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.