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Finding the Third Proportional to 56,082 and 119,946

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Solution

The third proportional to 56,082 and 119,946 is: 256,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,082 : 119,946 = 119,946 : x
  2. Step 2: Convert to fraction form
    56,082/119,946 = 119,946/x
  3. Step 3: Cross multiply
    56,082x = 119,946 × 119,946
  4. Step 4: Simplify right side
    56,082x = 14,387,042,916
  5. Step 5: Solve for x
    x = 14,387,042,916/56,082
  6. Step 6: Final answer
    x = 256,535.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.