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Finding the Third Proportional to 125,427 and 274,655

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Solution

The third proportional to 125,427 and 274,655 is: 601,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,427 : 274,655 = 274,655 : x
  2. Step 2: Convert to fraction form
    125,427/274,655 = 274,655/x
  3. Step 3: Cross multiply
    125,427x = 274,655 × 274,655
  4. Step 4: Simplify right side
    125,427x = 75,435,369,025
  5. Step 5: Solve for x
    x = 75,435,369,025/125,427
  6. Step 6: Final answer
    x = 601,428.47

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Why These Related Problems?

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