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Finding the Third Proportional to 100,962 and 156,312

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Solution

The third proportional to 100,962 and 156,312 is: 242,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,962 : 156,312 = 156,312 : x
  2. Step 2: Convert to fraction form
    100,962/156,312 = 156,312/x
  3. Step 3: Cross multiply
    100,962x = 156,312 × 156,312
  4. Step 4: Simplify right side
    100,962x = 24,433,441,344
  5. Step 5: Solve for x
    x = 24,433,441,344/100,962
  6. Step 6: Final answer
    x = 242,006.31

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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.