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Finding the Third Proportional to 43,942 and 93,716

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Solution

The third proportional to 43,942 and 93,716 is: 199,870.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,942 : 93,716 = 93,716 : x
  2. Step 2: Convert to fraction form
    43,942/93,716 = 93,716/x
  3. Step 3: Cross multiply
    43,942x = 93,716 × 93,716
  4. Step 4: Simplify right side
    43,942x = 8,782,688,656
  5. Step 5: Solve for x
    x = 8,782,688,656/43,942
  6. Step 6: Final answer
    x = 199,870.03

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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.