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Finding the Third Proportional to 92,414 and 139,278

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Solution

The third proportional to 92,414 and 139,278 is: 209,907.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,414 : 139,278 = 139,278 : x
  2. Step 2: Convert to fraction form
    92,414/139,278 = 139,278/x
  3. Step 3: Cross multiply
    92,414x = 139,278 × 139,278
  4. Step 4: Simplify right side
    92,414x = 19,398,361,284
  5. Step 5: Solve for x
    x = 19,398,361,284/92,414
  6. Step 6: Final answer
    x = 209,907.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.