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Finding the Third Proportional to 80,604 and 120,798

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Solution

The third proportional to 80,604 and 120,798 is: 181,035.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,604 : 120,798 = 120,798 : x
  2. Step 2: Convert to fraction form
    80,604/120,798 = 120,798/x
  3. Step 3: Cross multiply
    80,604x = 120,798 × 120,798
  4. Step 4: Simplify right side
    80,604x = 14,592,156,804
  5. Step 5: Solve for x
    x = 14,592,156,804/80,604
  6. Step 6: Final answer
    x = 181,035.14

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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.