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Finding the Third Proportional to 103,260.75 and 150,927

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Solution

The third proportional to 103,260.75 and 150,927 is: 220,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,260.75 : 150,927 = 150,927 : x
  2. Step 2: Convert to fraction form
    103,260.75/150,927 = 150,927/x
  3. Step 3: Cross multiply
    103,260.75x = 150,927 × 150,927
  4. Step 4: Simplify right side
    103,260.75x = 22,778,959,329
  5. Step 5: Solve for x
    x = 22,778,959,329/103,260.75
  6. Step 6: Final answer
    x = 220,596.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.