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Finding the Third Proportional to 45,774 and 70,839

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Solution

The third proportional to 45,774 and 70,839 is: 109,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,774 : 70,839 = 70,839 : x
  2. Step 2: Convert to fraction form
    45,774/70,839 = 70,839/x
  3. Step 3: Cross multiply
    45,774x = 70,839 × 70,839
  4. Step 4: Simplify right side
    45,774x = 5,018,163,921
  5. Step 5: Solve for x
    x = 5,018,163,921/45,774
  6. Step 6: Final answer
    x = 109,629.13

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.