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Finding the Third Proportional to 92,388 and 139,414

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Solution

The third proportional to 92,388 and 139,414 is: 210,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,388 : 139,414 = 139,414 : x
  2. Step 2: Convert to fraction form
    92,388/139,414 = 139,414/x
  3. Step 3: Cross multiply
    92,388x = 139,414 × 139,414
  4. Step 4: Simplify right side
    92,388x = 19,436,263,396
  5. Step 5: Solve for x
    x = 19,436,263,396/92,388
  6. Step 6: Final answer
    x = 210,376.49

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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.