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Finding the Third Proportional to 83,207 and 179,535

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Solution

The third proportional to 83,207 and 179,535 is: 387,381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,207 : 179,535 = 179,535 : x
  2. Step 2: Convert to fraction form
    83,207/179,535 = 179,535/x
  3. Step 3: Cross multiply
    83,207x = 179,535 × 179,535
  4. Step 4: Simplify right side
    83,207x = 32,232,816,225
  5. Step 5: Solve for x
    x = 32,232,816,225/83,207
  6. Step 6: Final answer
    x = 387,381.06

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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.