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Finding the Third Proportional to 92,259 and 150,648.75

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Solution

The third proportional to 92,259 and 150,648.75 is: 245,992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,259 : 150,648.75 = 150,648.75 : x
  2. Step 2: Convert to fraction form
    92,259/150,648.75 = 150,648.75/x
  3. Step 3: Cross multiply
    92,259x = 150,648.75 × 150,648.75
  4. Step 4: Simplify right side
    92,259x = 22,695,045,876.56
  5. Step 5: Solve for x
    x = 22,695,045,876.56/92,259
  6. Step 6: Final answer
    x = 245,992.76

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.