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Finding the Third Proportional to 124,866 and 275,449.50

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Solution

The third proportional to 124,866 and 275,449.50 is: 607,630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,866 : 275,449.50 = 275,449.50 : x
  2. Step 2: Convert to fraction form
    124,866/275,449.50 = 275,449.50/x
  3. Step 3: Cross multiply
    124,866x = 275,449.50 × 275,449.50
  4. Step 4: Simplify right side
    124,866x = 75,872,427,050.25
  5. Step 5: Solve for x
    x = 75,872,427,050.25/124,866
  6. Step 6: Final answer
    x = 607,630.80

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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.