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Finding the Third Proportional to 46,685 and 102,483

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Solution

The third proportional to 46,685 and 102,483 is: 224,970.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,685 : 102,483 = 102,483 : x
  2. Step 2: Convert to fraction form
    46,685/102,483 = 102,483/x
  3. Step 3: Cross multiply
    46,685x = 102,483 × 102,483
  4. Step 4: Simplify right side
    46,685x = 10,502,765,289
  5. Step 5: Solve for x
    x = 10,502,765,289/46,685
  6. Step 6: Final answer
    x = 224,970.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.