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Finding the Third Proportional to 43,270 and 63,203

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Solution

The third proportional to 43,270 and 63,203 is: 92,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,270 : 63,203 = 63,203 : x
  2. Step 2: Convert to fraction form
    43,270/63,203 = 63,203/x
  3. Step 3: Cross multiply
    43,270x = 63,203 × 63,203
  4. Step 4: Simplify right side
    43,270x = 3,994,619,209
  5. Step 5: Solve for x
    x = 3,994,619,209/43,270
  6. Step 6: Final answer
    x = 92,318.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.