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Finding the Third Proportional to 124,427 and 188,945

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Solution

The third proportional to 124,427 and 188,945 is: 286,916.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,427 : 188,945 = 188,945 : x
  2. Step 2: Convert to fraction form
    124,427/188,945 = 188,945/x
  3. Step 3: Cross multiply
    124,427x = 188,945 × 188,945
  4. Step 4: Simplify right side
    124,427x = 35,700,213,025
  5. Step 5: Solve for x
    x = 35,700,213,025/124,427
  6. Step 6: Final answer
    x = 286,916.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.