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Finding the Third Proportional to 45,872 and 70,968

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Solution

The third proportional to 45,872 and 70,968 is: 109,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,872 : 70,968 = 70,968 : x
  2. Step 2: Convert to fraction form
    45,872/70,968 = 70,968/x
  3. Step 3: Cross multiply
    45,872x = 70,968 × 70,968
  4. Step 4: Simplify right side
    45,872x = 5,036,457,024
  5. Step 5: Solve for x
    x = 5,036,457,024/45,872
  6. Step 6: Final answer
    x = 109,793.71

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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.