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Finding the Third Proportional to 79,617 and 120,453

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Solution

The third proportional to 79,617 and 120,453 is: 182,234.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,617 : 120,453 = 120,453 : x
  2. Step 2: Convert to fraction form
    79,617/120,453 = 120,453/x
  3. Step 3: Cross multiply
    79,617x = 120,453 × 120,453
  4. Step 4: Simplify right side
    79,617x = 14,508,925,209
  5. Step 5: Solve for x
    x = 14,508,925,209/79,617
  6. Step 6: Final answer
    x = 182,234.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.