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Finding the Third Proportional to 75,676 and 114,566

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Solution

The third proportional to 75,676 and 114,566 is: 173,441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,676 : 114,566 = 114,566 : x
  2. Step 2: Convert to fraction form
    75,676/114,566 = 114,566/x
  3. Step 3: Cross multiply
    75,676x = 114,566 × 114,566
  4. Step 4: Simplify right side
    75,676x = 13,125,368,356
  5. Step 5: Solve for x
    x = 13,125,368,356/75,676
  6. Step 6: Final answer
    x = 173,441.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.