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Finding the Third Proportional to 104,497 and 156,502

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Solution

The third proportional to 104,497 and 156,502 is: 234,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,497 : 156,502 = 156,502 : x
  2. Step 2: Convert to fraction form
    104,497/156,502 = 156,502/x
  3. Step 3: Cross multiply
    104,497x = 156,502 × 156,502
  4. Step 4: Simplify right side
    104,497x = 24,492,876,004
  5. Step 5: Solve for x
    x = 24,492,876,004/104,497
  6. Step 6: Final answer
    x = 234,388.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.