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Finding the Third Proportional to 51,914 and 77,791

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Solution

The third proportional to 51,914 and 77,791 is: 116,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,914 : 77,791 = 77,791 : x
  2. Step 2: Convert to fraction form
    51,914/77,791 = 77,791/x
  3. Step 3: Cross multiply
    51,914x = 77,791 × 77,791
  4. Step 4: Simplify right side
    51,914x = 6,051,439,681
  5. Step 5: Solve for x
    x = 6,051,439,681/51,914
  6. Step 6: Final answer
    x = 116,566.62

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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.