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Finding the Third Proportional to 51,930 and 77,807

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Solution

The third proportional to 51,930 and 77,807 is: 116,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,930 : 77,807 = 77,807 : x
  2. Step 2: Convert to fraction form
    51,930/77,807 = 77,807/x
  3. Step 3: Cross multiply
    51,930x = 77,807 × 77,807
  4. Step 4: Simplify right side
    51,930x = 6,053,929,249
  5. Step 5: Solve for x
    x = 6,053,929,249/51,930
  6. Step 6: Final answer
    x = 116,578.65

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