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Finding the Third Proportional to 92,146 and 138,868

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Solution

The third proportional to 92,146 and 138,868 is: 209,280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,146 : 138,868 = 138,868 : x
  2. Step 2: Convert to fraction form
    92,146/138,868 = 138,868/x
  3. Step 3: Cross multiply
    92,146x = 138,868 × 138,868
  4. Step 4: Simplify right side
    92,146x = 19,284,321,424
  5. Step 5: Solve for x
    x = 19,284,321,424/92,146
  6. Step 6: Final answer
    x = 209,280.07

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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.