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Finding the Third Proportional to 92,197 and 139,143

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Solution

The third proportional to 92,197 and 139,143 is: 209,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,197 : 139,143 = 139,143 : x
  2. Step 2: Convert to fraction form
    92,197/139,143 = 139,143/x
  3. Step 3: Cross multiply
    92,197x = 139,143 × 139,143
  4. Step 4: Simplify right side
    92,197x = 19,360,774,449
  5. Step 5: Solve for x
    x = 19,360,774,449/92,197
  6. Step 6: Final answer
    x = 209,993.54

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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.