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Finding the Third Proportional to 124,534.50 and 275,234.25

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Solution

The third proportional to 124,534.50 and 275,234.25 is: 608,296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,534.50 : 275,234.25 = 275,234.25 : x
  2. Step 2: Convert to fraction form
    124,534.50/275,234.25 = 275,234.25/x
  3. Step 3: Cross multiply
    124,534.50x = 275,234.25 × 275,234.25
  4. Step 4: Simplify right side
    124,534.50x = 75,753,892,373.06
  5. Step 5: Solve for x
    x = 75,753,892,373.06/124,534.50
  6. Step 6: Final answer
    x = 608,296.43

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.