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Finding the Third Proportional to 45,947 and 70,919

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Solution

The third proportional to 45,947 and 70,919 is: 109,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,947 : 70,919 = 70,919 : x
  2. Step 2: Convert to fraction form
    45,947/70,919 = 70,919/x
  3. Step 3: Cross multiply
    45,947x = 70,919 × 70,919
  4. Step 4: Simplify right side
    45,947x = 5,029,504,561
  5. Step 5: Solve for x
    x = 5,029,504,561/45,947
  6. Step 6: Final answer
    x = 109,463.18

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.