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Finding the Third Proportional to 92,601 and 138,291.75

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Solution

The third proportional to 92,601 and 138,291.75 is: 206,527.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,601 : 138,291.75 = 138,291.75 : x
  2. Step 2: Convert to fraction form
    92,601/138,291.75 = 138,291.75/x
  3. Step 3: Cross multiply
    92,601x = 138,291.75 × 138,291.75
  4. Step 4: Simplify right side
    92,601x = 19,124,608,118.06
  5. Step 5: Solve for x
    x = 19,124,608,118.06/92,601
  6. Step 6: Final answer
    x = 206,527.02

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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.