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Finding the Third Proportional to 45,758 and 73,072

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Solution

The third proportional to 45,758 and 73,072 is: 116,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,758 : 73,072 = 73,072 : x
  2. Step 2: Convert to fraction form
    45,758/73,072 = 73,072/x
  3. Step 3: Cross multiply
    45,758x = 73,072 × 73,072
  4. Step 4: Simplify right side
    45,758x = 5,339,517,184
  5. Step 5: Solve for x
    x = 5,339,517,184/45,758
  6. Step 6: Final answer
    x = 116,690.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.