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Finding the Third Proportional to 46,414 and 98,120

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Solution

The third proportional to 46,414 and 98,120 is: 207,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,414 : 98,120 = 98,120 : x
  2. Step 2: Convert to fraction form
    46,414/98,120 = 98,120/x
  3. Step 3: Cross multiply
    46,414x = 98,120 × 98,120
  4. Step 4: Simplify right side
    46,414x = 9,627,534,400
  5. Step 5: Solve for x
    x = 9,627,534,400/46,414
  6. Step 6: Final answer
    x = 207,427.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.