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Finding the Third Proportional to 46,466 and 102,310

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Solution

The third proportional to 46,466 and 102,310 is: 225,268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,466 : 102,310 = 102,310 : x
  2. Step 2: Convert to fraction form
    46,466/102,310 = 102,310/x
  3. Step 3: Cross multiply
    46,466x = 102,310 × 102,310
  4. Step 4: Simplify right side
    46,466x = 10,467,336,100
  5. Step 5: Solve for x
    x = 10,467,336,100/46,466
  6. Step 6: Final answer
    x = 225,268.71

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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.