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Finding the Third Proportional to 79,461 and 123,884.44

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Solution

The third proportional to 79,461 and 123,884.44 is: 193,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,461 : 123,884.44 = 123,884.44 : x
  2. Step 2: Convert to fraction form
    79,461/123,884.44 = 123,884.44/x
  3. Step 3: Cross multiply
    79,461x = 123,884.44 × 123,884.44
  4. Step 4: Simplify right side
    79,461x = 15,347,353,854.69
  5. Step 5: Solve for x
    x = 15,347,353,854.69/79,461
  6. Step 6: Final answer
    x = 193,143.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.