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Finding the Third Proportional to 51,596 and 77,202

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Solution

The third proportional to 51,596 and 77,202 is: 115,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,596 : 77,202 = 77,202 : x
  2. Step 2: Convert to fraction form
    51,596/77,202 = 77,202/x
  3. Step 3: Cross multiply
    51,596x = 77,202 × 77,202
  4. Step 4: Simplify right side
    51,596x = 5,960,148,804
  5. Step 5: Solve for x
    x = 5,960,148,804/51,596
  6. Step 6: Final answer
    x = 115,515.71

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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.