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Finding the Third Proportional to 92,074 and 139,356

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Solution

The third proportional to 92,074 and 139,356 is: 210,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,074 : 139,356 = 139,356 : x
  2. Step 2: Convert to fraction form
    92,074/139,356 = 139,356/x
  3. Step 3: Cross multiply
    92,074x = 139,356 × 139,356
  4. Step 4: Simplify right side
    92,074x = 19,420,094,736
  5. Step 5: Solve for x
    x = 19,420,094,736/92,074
  6. Step 6: Final answer
    x = 210,918.33

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