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Finding the Third Proportional to 103,539 and 224,007

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Solution

The third proportional to 103,539 and 224,007 is: 484,639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,539 : 224,007 = 224,007 : x
  2. Step 2: Convert to fraction form
    103,539/224,007 = 224,007/x
  3. Step 3: Cross multiply
    103,539x = 224,007 × 224,007
  4. Step 4: Simplify right side
    103,539x = 50,179,136,049
  5. Step 5: Solve for x
    x = 50,179,136,049/103,539
  6. Step 6: Final answer
    x = 484,639.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.