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Finding the Third Proportional to 46,861 and 102,459

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Solution

The third proportional to 46,861 and 102,459 is: 224,020.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,861 : 102,459 = 102,459 : x
  2. Step 2: Convert to fraction form
    46,861/102,459 = 102,459/x
  3. Step 3: Cross multiply
    46,861x = 102,459 × 102,459
  4. Step 4: Simplify right side
    46,861x = 10,497,846,681
  5. Step 5: Solve for x
    x = 10,497,846,681/46,861
  6. Step 6: Final answer
    x = 224,020.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.