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Finding the Third Proportional to 43,068 and 91,348

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Solution

The third proportional to 43,068 and 91,348 is: 193,750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,068 : 91,348 = 91,348 : x
  2. Step 2: Convert to fraction form
    43,068/91,348 = 91,348/x
  3. Step 3: Cross multiply
    43,068x = 91,348 × 91,348
  4. Step 4: Simplify right side
    43,068x = 8,344,457,104
  5. Step 5: Solve for x
    x = 8,344,457,104/43,068
  6. Step 6: Final answer
    x = 193,750.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.