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Finding the Third Proportional to 124,627.50 and 274,175.50

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Solution

The third proportional to 124,627.50 and 274,175.50 is: 603,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,627.50 : 274,175.50 = 274,175.50 : x
  2. Step 2: Convert to fraction form
    124,627.50/274,175.50 = 274,175.50/x
  3. Step 3: Cross multiply
    124,627.50x = 274,175.50 × 274,175.50
  4. Step 4: Simplify right side
    124,627.50x = 75,172,204,800.25
  5. Step 5: Solve for x
    x = 75,172,204,800.25/124,627.50
  6. Step 6: Final answer
    x = 603,175.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.