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Finding the Third Proportional to 45,772 and 68,892

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Solution

The third proportional to 45,772 and 68,892 is: 103,690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,772 : 68,892 = 68,892 : x
  2. Step 2: Convert to fraction form
    45,772/68,892 = 68,892/x
  3. Step 3: Cross multiply
    45,772x = 68,892 × 68,892
  4. Step 4: Simplify right side
    45,772x = 4,746,107,664
  5. Step 5: Solve for x
    x = 4,746,107,664/45,772
  6. Step 6: Final answer
    x = 103,690.20

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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.