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Finding the Third Proportional to 100,986 and 156,361

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Solution

The third proportional to 100,986 and 156,361 is: 242,100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,986 : 156,361 = 156,361 : x
  2. Step 2: Convert to fraction form
    100,986/156,361 = 156,361/x
  3. Step 3: Cross multiply
    100,986x = 156,361 × 156,361
  4. Step 4: Simplify right side
    100,986x = 24,448,762,321
  5. Step 5: Solve for x
    x = 24,448,762,321/100,986
  6. Step 6: Final answer
    x = 242,100.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.