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Finding the Third Proportional to 101,478.75 and 163,059

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Solution

The third proportional to 101,478.75 and 163,059 is: 262,007.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,478.75 : 163,059 = 163,059 : x
  2. Step 2: Convert to fraction form
    101,478.75/163,059 = 163,059/x
  3. Step 3: Cross multiply
    101,478.75x = 163,059 × 163,059
  4. Step 4: Simplify right side
    101,478.75x = 26,588,237,481
  5. Step 5: Solve for x
    x = 26,588,237,481/101,478.75
  6. Step 6: Final answer
    x = 262,007.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.