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Finding the Third Proportional to 76,306.50 and 159,583

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Solution

The third proportional to 76,306.50 and 159,583 is: 333,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,306.50 : 159,583 = 159,583 : x
  2. Step 2: Convert to fraction form
    76,306.50/159,583 = 159,583/x
  3. Step 3: Cross multiply
    76,306.50x = 159,583 × 159,583
  4. Step 4: Simplify right side
    76,306.50x = 25,466,733,889
  5. Step 5: Solve for x
    x = 25,466,733,889/76,306.50
  6. Step 6: Final answer
    x = 333,742.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.