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Finding the Third Proportional to 45,302 and 65,253

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Solution

The third proportional to 45,302 and 65,253 is: 93,990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,302 : 65,253 = 65,253 : x
  2. Step 2: Convert to fraction form
    45,302/65,253 = 65,253/x
  3. Step 3: Cross multiply
    45,302x = 65,253 × 65,253
  4. Step 4: Simplify right side
    45,302x = 4,257,954,009
  5. Step 5: Solve for x
    x = 4,257,954,009/45,302
  6. Step 6: Final answer
    x = 93,990.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.