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Finding the Third Proportional to 83,203 and 179,527

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Solution

The third proportional to 83,203 and 179,527 is: 387,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,203 : 179,527 = 179,527 : x
  2. Step 2: Convert to fraction form
    83,203/179,527 = 179,527/x
  3. Step 3: Cross multiply
    83,203x = 179,527 × 179,527
  4. Step 4: Simplify right side
    83,203x = 32,229,943,729
  5. Step 5: Solve for x
    x = 32,229,943,729/83,203
  6. Step 6: Final answer
    x = 387,365.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.