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Finding the Third Proportional to 73,098.50 and 151,943

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Solution

The third proportional to 73,098.50 and 151,943 is: 315,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,098.50 : 151,943 = 151,943 : x
  2. Step 2: Convert to fraction form
    73,098.50/151,943 = 151,943/x
  3. Step 3: Cross multiply
    73,098.50x = 151,943 × 151,943
  4. Step 4: Simplify right side
    73,098.50x = 23,086,675,249
  5. Step 5: Solve for x
    x = 23,086,675,249/73,098.50
  6. Step 6: Final answer
    x = 315,829.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.