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Finding the Third Proportional to 43,565 and 94,505

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Solution

The third proportional to 43,565 and 94,505 is: 205,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,565 : 94,505 = 94,505 : x
  2. Step 2: Convert to fraction form
    43,565/94,505 = 94,505/x
  3. Step 3: Cross multiply
    43,565x = 94,505 × 94,505
  4. Step 4: Simplify right side
    43,565x = 8,931,195,025
  5. Step 5: Solve for x
    x = 8,931,195,025/43,565
  6. Step 6: Final answer
    x = 205,008.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.