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Finding the Third Proportional to 125,057.25 and 274,420.13

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Solution

The third proportional to 125,057.25 and 274,420.13 is: 602,175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,057.25 : 274,420.13 = 274,420.13 : x
  2. Step 2: Convert to fraction form
    125,057.25/274,420.13 = 274,420.13/x
  3. Step 3: Cross multiply
    125,057.25x = 274,420.13 × 274,420.13
  4. Step 4: Simplify right side
    125,057.25x = 75,306,405,005.02
  5. Step 5: Solve for x
    x = 75,306,405,005.02/125,057.25
  6. Step 6: Final answer
    x = 602,175.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.