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Finding the Third Proportional to 123,192 and 161,763

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Solution

The third proportional to 123,192 and 161,763 is: 212,410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,192 : 161,763 = 161,763 : x
  2. Step 2: Convert to fraction form
    123,192/161,763 = 161,763/x
  3. Step 3: Cross multiply
    123,192x = 161,763 × 161,763
  4. Step 4: Simplify right side
    123,192x = 26,167,268,169
  5. Step 5: Solve for x
    x = 26,167,268,169/123,192
  6. Step 6: Final answer
    x = 212,410.45

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.