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Finding the Third Proportional to 43,190 and 91,528

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Solution

The third proportional to 43,190 and 91,528 is: 193,965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,190 : 91,528 = 91,528 : x
  2. Step 2: Convert to fraction form
    43,190/91,528 = 91,528/x
  3. Step 3: Cross multiply
    43,190x = 91,528 × 91,528
  4. Step 4: Simplify right side
    43,190x = 8,377,374,784
  5. Step 5: Solve for x
    x = 8,377,374,784/43,190
  6. Step 6: Final answer
    x = 193,965.61

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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.