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Finding the Third Proportional to 71,506.50 and 107,227.50

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Solution

The third proportional to 71,506.50 and 107,227.50 is: 160,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,506.50 : 107,227.50 = 107,227.50 : x
  2. Step 2: Convert to fraction form
    71,506.50/107,227.50 = 107,227.50/x
  3. Step 3: Cross multiply
    71,506.50x = 107,227.50 × 107,227.50
  4. Step 4: Simplify right side
    71,506.50x = 11,497,736,756.25
  5. Step 5: Solve for x
    x = 11,497,736,756.25/71,506.50
  6. Step 6: Final answer
    x = 160,792.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.