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Finding the Third Proportional to 92,586 and 138,271

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Solution

The third proportional to 92,586 and 138,271 is: 206,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,586 : 138,271 = 138,271 : x
  2. Step 2: Convert to fraction form
    92,586/138,271 = 138,271/x
  3. Step 3: Cross multiply
    92,586x = 138,271 × 138,271
  4. Step 4: Simplify right side
    92,586x = 19,118,869,441
  5. Step 5: Solve for x
    x = 19,118,869,441/92,586
  6. Step 6: Final answer
    x = 206,498.49

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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.