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Finding the Third Proportional to 96,082 and 224,421

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Solution

The third proportional to 96,082 and 224,421 is: 524,185.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,082 : 224,421 = 224,421 : x
  2. Step 2: Convert to fraction form
    96,082/224,421 = 224,421/x
  3. Step 3: Cross multiply
    96,082x = 224,421 × 224,421
  4. Step 4: Simplify right side
    96,082x = 50,364,785,241
  5. Step 5: Solve for x
    x = 50,364,785,241/96,082
  6. Step 6: Final answer
    x = 524,185.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.