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Finding the Third Proportional to 46,780 and 99,172

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Solution

The third proportional to 46,780 and 99,172 is: 210,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,780 : 99,172 = 99,172 : x
  2. Step 2: Convert to fraction form
    46,780/99,172 = 99,172/x
  3. Step 3: Cross multiply
    46,780x = 99,172 × 99,172
  4. Step 4: Simplify right side
    46,780x = 9,835,085,584
  5. Step 5: Solve for x
    x = 9,835,085,584/46,780
  6. Step 6: Final answer
    x = 210,241.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.