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Finding the Third Proportional to 51,702 and 76,032

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Solution

The third proportional to 51,702 and 76,032 is: 111,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,702 : 76,032 = 76,032 : x
  2. Step 2: Convert to fraction form
    51,702/76,032 = 76,032/x
  3. Step 3: Cross multiply
    51,702x = 76,032 × 76,032
  4. Step 4: Simplify right side
    51,702x = 5,780,865,024
  5. Step 5: Solve for x
    x = 5,780,865,024/51,702
  6. Step 6: Final answer
    x = 111,811.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.