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Finding the Third Proportional to 43,953 and 91,023

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Solution

The third proportional to 43,953 and 91,023 is: 188,501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,953 : 91,023 = 91,023 : x
  2. Step 2: Convert to fraction form
    43,953/91,023 = 91,023/x
  3. Step 3: Cross multiply
    43,953x = 91,023 × 91,023
  4. Step 4: Simplify right side
    43,953x = 8,285,186,529
  5. Step 5: Solve for x
    x = 8,285,186,529/43,953
  6. Step 6: Final answer
    x = 188,501.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.