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Finding the Third Proportional to 45,823 and 70,951

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Solution

The third proportional to 45,823 and 70,951 is: 109,858.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,823 : 70,951 = 70,951 : x
  2. Step 2: Convert to fraction form
    45,823/70,951 = 70,951/x
  3. Step 3: Cross multiply
    45,823x = 70,951 × 70,951
  4. Step 4: Simplify right side
    45,823x = 5,034,044,401
  5. Step 5: Solve for x
    x = 5,034,044,401/45,823
  6. Step 6: Final answer
    x = 109,858.46

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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.