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Finding the Third Proportional to 46,670 and 102,414

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Solution

The third proportional to 46,670 and 102,414 is: 224,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,670 : 102,414 = 102,414 : x
  2. Step 2: Convert to fraction form
    46,670/102,414 = 102,414/x
  3. Step 3: Cross multiply
    46,670x = 102,414 × 102,414
  4. Step 4: Simplify right side
    46,670x = 10,488,627,396
  5. Step 5: Solve for x
    x = 10,488,627,396/46,670
  6. Step 6: Final answer
    x = 224,740.25

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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.