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Finding the Third Proportional to 51,701.50 and 82,951

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Solution

The third proportional to 51,701.50 and 82,951 is: 133,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,701.50 : 82,951 = 82,951 : x
  2. Step 2: Convert to fraction form
    51,701.50/82,951 = 82,951/x
  3. Step 3: Cross multiply
    51,701.50x = 82,951 × 82,951
  4. Step 4: Simplify right side
    51,701.50x = 6,880,868,401
  5. Step 5: Solve for x
    x = 6,880,868,401/51,701.50
  6. Step 6: Final answer
    x = 133,088.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.