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Finding the Third Proportional to 45,074 and 65,595

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Solution

The third proportional to 45,074 and 65,595 is: 95,458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,074 : 65,595 = 65,595 : x
  2. Step 2: Convert to fraction form
    45,074/65,595 = 65,595/x
  3. Step 3: Cross multiply
    45,074x = 65,595 × 65,595
  4. Step 4: Simplify right side
    45,074x = 4,302,704,025
  5. Step 5: Solve for x
    x = 4,302,704,025/45,074
  6. Step 6: Final answer
    x = 95,458.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.