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Finding the Third Proportional to 43,203 and 88,558

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Solution

The third proportional to 43,203 and 88,558 is: 181,527.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,203 : 88,558 = 88,558 : x
  2. Step 2: Convert to fraction form
    43,203/88,558 = 88,558/x
  3. Step 3: Cross multiply
    43,203x = 88,558 × 88,558
  4. Step 4: Simplify right side
    43,203x = 7,842,519,364
  5. Step 5: Solve for x
    x = 7,842,519,364/43,203
  6. Step 6: Final answer
    x = 181,527.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.