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Finding the Third Proportional to 48,102 and 65,529

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Solution

The third proportional to 48,102 and 65,529 is: 89,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,102 : 65,529 = 65,529 : x
  2. Step 2: Convert to fraction form
    48,102/65,529 = 65,529/x
  3. Step 3: Cross multiply
    48,102x = 65,529 × 65,529
  4. Step 4: Simplify right side
    48,102x = 4,294,049,841
  5. Step 5: Solve for x
    x = 4,294,049,841/48,102
  6. Step 6: Final answer
    x = 89,269.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.