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Finding the Third Proportional to 100,982 and 156,355

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Solution

The third proportional to 100,982 and 156,355 is: 242,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,982 : 156,355 = 156,355 : x
  2. Step 2: Convert to fraction form
    100,982/156,355 = 156,355/x
  3. Step 3: Cross multiply
    100,982x = 156,355 × 156,355
  4. Step 4: Simplify right side
    100,982x = 24,446,886,025
  5. Step 5: Solve for x
    x = 24,446,886,025/100,982
  6. Step 6: Final answer
    x = 242,091.52

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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.