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Finding the Third Proportional to 51,444 and 77,302

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Solution

The third proportional to 51,444 and 77,302 is: 116,157.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,444 : 77,302 = 77,302 : x
  2. Step 2: Convert to fraction form
    51,444/77,302 = 77,302/x
  3. Step 3: Cross multiply
    51,444x = 77,302 × 77,302
  4. Step 4: Simplify right side
    51,444x = 5,975,599,204
  5. Step 5: Solve for x
    x = 5,975,599,204/51,444
  6. Step 6: Final answer
    x = 116,157.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.