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Finding the Third Proportional to 92,584 and 138,268

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Solution

The third proportional to 92,584 and 138,268 is: 206,493.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,584 : 138,268 = 138,268 : x
  2. Step 2: Convert to fraction form
    92,584/138,268 = 138,268/x
  3. Step 3: Cross multiply
    92,584x = 138,268 × 138,268
  4. Step 4: Simplify right side
    92,584x = 19,118,039,824
  5. Step 5: Solve for x
    x = 19,118,039,824/92,584
  6. Step 6: Final answer
    x = 206,493.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.