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Finding the Third Proportional to 126,847.13 and 272,830.50

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Solution

The third proportional to 126,847.13 and 272,830.50 is: 586,820.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,847.13 : 272,830.50 = 272,830.50 : x
  2. Step 2: Convert to fraction form
    126,847.13/272,830.50 = 272,830.50/x
  3. Step 3: Cross multiply
    126,847.13x = 272,830.50 × 272,830.50
  4. Step 4: Simplify right side
    126,847.13x = 74,436,481,730.25
  5. Step 5: Solve for x
    x = 74,436,481,730.25/126,847.13
  6. Step 6: Final answer
    x = 586,820.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.