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Finding the Third Proportional to 52,632 and 79,494

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Solution

The third proportional to 52,632 and 79,494 is: 120,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,632 : 79,494 = 79,494 : x
  2. Step 2: Convert to fraction form
    52,632/79,494 = 79,494/x
  3. Step 3: Cross multiply
    52,632x = 79,494 × 79,494
  4. Step 4: Simplify right side
    52,632x = 6,319,296,036
  5. Step 5: Solve for x
    x = 6,319,296,036/52,632
  6. Step 6: Final answer
    x = 120,065.66

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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.