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Finding the Third Proportional to 43,090 and 91,386

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Solution

The third proportional to 43,090 and 91,386 is: 193,812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,090 : 91,386 = 91,386 : x
  2. Step 2: Convert to fraction form
    43,090/91,386 = 91,386/x
  3. Step 3: Cross multiply
    43,090x = 91,386 × 91,386
  4. Step 4: Simplify right side
    43,090x = 8,351,400,996
  5. Step 5: Solve for x
    x = 8,351,400,996/43,090
  6. Step 6: Final answer
    x = 193,812.97

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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.