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Finding the Third Proportional to 51,604 and 79,755

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Solution

The third proportional to 51,604 and 79,755 is: 123,262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,604 : 79,755 = 79,755 : x
  2. Step 2: Convert to fraction form
    51,604/79,755 = 79,755/x
  3. Step 3: Cross multiply
    51,604x = 79,755 × 79,755
  4. Step 4: Simplify right side
    51,604x = 6,360,860,025
  5. Step 5: Solve for x
    x = 6,360,860,025/51,604
  6. Step 6: Final answer
    x = 123,262.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.