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Finding the Third Proportional to 43,513 and 92,716

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Solution

The third proportional to 43,513 and 92,716 is: 197,556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,513 : 92,716 = 92,716 : x
  2. Step 2: Convert to fraction form
    43,513/92,716 = 92,716/x
  3. Step 3: Cross multiply
    43,513x = 92,716 × 92,716
  4. Step 4: Simplify right side
    43,513x = 8,596,256,656
  5. Step 5: Solve for x
    x = 8,596,256,656/43,513
  6. Step 6: Final answer
    x = 197,556.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.