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Finding the Third Proportional to 63,722 and 111,011

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Solution

The third proportional to 63,722 and 111,011 is: 193,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,722 : 111,011 = 111,011 : x
  2. Step 2: Convert to fraction form
    63,722/111,011 = 111,011/x
  3. Step 3: Cross multiply
    63,722x = 111,011 × 111,011
  4. Step 4: Simplify right side
    63,722x = 12,323,442,121
  5. Step 5: Solve for x
    x = 12,323,442,121/63,722
  6. Step 6: Final answer
    x = 193,393.84

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.