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Finding the Third Proportional to 43,424 and 90,304

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Solution

The third proportional to 43,424 and 90,304 is: 187,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,424 : 90,304 = 90,304 : x
  2. Step 2: Convert to fraction form
    43,424/90,304 = 90,304/x
  3. Step 3: Cross multiply
    43,424x = 90,304 × 90,304
  4. Step 4: Simplify right side
    43,424x = 8,154,812,416
  5. Step 5: Solve for x
    x = 8,154,812,416/43,424
  6. Step 6: Final answer
    x = 187,795.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.