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Finding the Third Proportional to 51,947 and 77,919

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Solution

The third proportional to 51,947 and 77,919 is: 116,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,947 : 77,919 = 77,919 : x
  2. Step 2: Convert to fraction form
    51,947/77,919 = 77,919/x
  3. Step 3: Cross multiply
    51,947x = 77,919 × 77,919
  4. Step 4: Simplify right side
    51,947x = 6,071,370,561
  5. Step 5: Solve for x
    x = 6,071,370,561/51,947
  6. Step 6: Final answer
    x = 116,876.25

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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.