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Finding the Third Proportional to 48,677 and 75,165

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Solution

The third proportional to 48,677 and 75,165 is: 116,066.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,677 : 75,165 = 75,165 : x
  2. Step 2: Convert to fraction form
    48,677/75,165 = 75,165/x
  3. Step 3: Cross multiply
    48,677x = 75,165 × 75,165
  4. Step 4: Simplify right side
    48,677x = 5,649,777,225
  5. Step 5: Solve for x
    x = 5,649,777,225/48,677
  6. Step 6: Final answer
    x = 116,066.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.