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Finding the Third Proportional to 92,260 and 150,650.50

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Solution

The third proportional to 92,260 and 150,650.50 is: 245,995.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,260 : 150,650.50 = 150,650.50 : x
  2. Step 2: Convert to fraction form
    92,260/150,650.50 = 150,650.50/x
  3. Step 3: Cross multiply
    92,260x = 150,650.50 × 150,650.50
  4. Step 4: Simplify right side
    92,260x = 22,695,573,150.25
  5. Step 5: Solve for x
    x = 22,695,573,150.25/92,260
  6. Step 6: Final answer
    x = 245,995.81

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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.