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Finding the Third Proportional to 104,496 and 156,501

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Solution

The third proportional to 104,496 and 156,501 is: 234,387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,496 : 156,501 = 156,501 : x
  2. Step 2: Convert to fraction form
    104,496/156,501 = 156,501/x
  3. Step 3: Cross multiply
    104,496x = 156,501 × 156,501
  4. Step 4: Simplify right side
    104,496x = 24,492,563,001
  5. Step 5: Solve for x
    x = 24,492,563,001/104,496
  6. Step 6: Final answer
    x = 234,387.57

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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.