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Finding the Third Proportional to 123,025 and 200,887

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Solution

The third proportional to 123,025 and 200,887 is: 328,027.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,025 : 200,887 = 200,887 : x
  2. Step 2: Convert to fraction form
    123,025/200,887 = 200,887/x
  3. Step 3: Cross multiply
    123,025x = 200,887 × 200,887
  4. Step 4: Simplify right side
    123,025x = 40,355,586,769
  5. Step 5: Solve for x
    x = 40,355,586,769/123,025
  6. Step 6: Final answer
    x = 328,027.53

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.